Relevant bibliographies by topics / Large deformation large strain

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Large deformation large strain'

Author: Grafiati
Published: 17 August 2022
Last updated: 10 September 2022

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Journal articles on the topic "Large deformation large strain"

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Speich, Marco, Wolfgang Rimkus, Markus Merkel, and Andreas Öchsner. "Large Deformation of Metallic Hollow Spheres." Materials Science Forum 623 (May 2009): 105–17. http://dx.doi.org/10.4028/www.scientific.net/msf.623.105.

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Hollow sphere structures are a new group of advanced lightweight materials for multifunctional applications. Within the scope of this paper, the uniaxial deformation behaviour in the regime of large deformations is investigated. Appropriate computational models are developed to account for the deformation mechanisms occurring under high deformations. Macroscopic stress-strain curves are derived and the influence of different material parameters is investigated.
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Nimmer, Ronald P. "Predicting large strain deformation of polymers." Polymer Engineering and Science 27, no. 1 (January 1987): 16–24. http://dx.doi.org/10.1002/pen.760270104.

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KAWAI, Masamichi. "On strain hardening in large deformation." Transactions of the Japan Society of Mechanical Engineers Series A 56, no. 522 (1990): 346–51. http://dx.doi.org/10.1299/kikaia.56.346.

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Sevillano, J. Gil, C. García–Rosales, and J. Flaquer Fuster. "Texture and large–strain deformation microstructure." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 357, no. 1756 (June 15, 1999): 1603–19. http://dx.doi.org/10.1098/rsta.1999.0392.

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Lee, Seongeyl, Jihong Hwang, M. Ravi Shankar, Srinivasan Chandrasekar, and W. Dale Compton. "Large strain deformation field in machining." Metallurgical and Materials Transactions A 37, no. 5 (May 2006): 1633–43. http://dx.doi.org/10.1007/s11661-006-0105-z.

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Dolzhanskyi, A. M., T. A. Ayupova, O. A. Nosko, O. P. Rybkin, and O. A. Ayupov. "Transition from engineering strain to the true strain in analytical description of metals hardening." Physical Metallurgy and Heat Treatment of Metals, no. 1 (92) (May 11, 2021): 66–70. http://dx.doi.org/10.30838/j.pmhtm.2413.230321.66.736.

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Purpose of the work is related with the impossibility of correctly estimating the strain hardening of metals (alloys) in the area of their large total deformations due to absence of additivity in the traditionally used value of engineering strain g, its nonlinear change in the area of large values, and absence of data in the technical literature Hall-Petch coefficient Ai for logarithmic true deformations, which led to the task of correct transition from the values of the engineering strain 0 < g < 50...60 % to the value of the true logarithmic strainn 0 < e < 1...3. Methodology. The theoretical analysis of the regularities of deformation hardening of metals (alloys) from the engineering strain is carried out, the transition from engineering to logarithmic ("true") strain of metals (alloys) by analytical representation of metal hardening graphs as a function of logarithmic (true) strain. in contrast to the degree of engineering strain is presented. Originality. Analytical expressions are presented that allow the use of known theoretical data on the strain hardening of metals (alloys) at small (50...60 %) total engineering strains g during cold pressure treatment to transition to logarithmic (true) strain e with large total deformations. Practical value. The obtained mathematical expressions allow to use the accumulated in the technical literature experimental data on the hardening of metals and alloys with small engineering strains in the processes of cold processing of metals (alloys) by pressure to determine the hardening with large total logarithmic (true) strains. These data can also be used to solve metallophysical problems of metal processing by pressure associated with large total compressions. Keywords: cold forming of metals and alloys; hardening; degree of deformation
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Gurao, N. P., and Satyam Suwas. "Deformation mechanisms during large strain deformation of nanocrystalline nickel." Applied Physics Letters 94, no. 19 (May 11, 2009): 191902. http://dx.doi.org/10.1063/1.3132085.

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le Joncour, Lea, Benoit Panicaud, Andrzej Baczmanski, Manuel François, Chedly Braham, and Anna Maria Paradowska. "Large Deformation and Mechanical Effects of Damage in Aged Duplex Stainless Steel." Materials Science Forum 652 (May 2010): 155–60. http://dx.doi.org/10.4028/www.scientific.net/msf.652.155.

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The lattice strains in large tensile deformations, up to the fracture of the sample were measured using neutron TOF method. For the first time, the range of large deformation was studied measuring lattice strain in the deformation neck and using special correction for macrostress value. It was found that during large plastic deformation the lattice stresses arise almost linearly with the macrostress value. The relaxation of elastic strains in some groups of ferritic grains (corresponding to reflections 211 and 200) can be connected with initiation of damage process in the ferritic phase.
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Hansen, N., X. Huang, R. Ueji, and N. Tsuji. "Structure and strength after large strain deformation." Materials Science and Engineering: A 387-389 (December 2004): 191–94. http://dx.doi.org/10.1016/j.msea.2004.02.078.

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Zhang, Chong, Yue Wang, Hongchun Shang, Pengfei Wu, Lei Fu, Yanshan Lou, Till Clausmeyer, A. Erman Tekkaya, and Qi Zhang. "Strain hardening under large deformation for AA5182." IOP Conference Series: Materials Science and Engineering 967 (November 19, 2020): 012030. http://dx.doi.org/10.1088/1757-899x/967/1/012030.

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Dissertations / Theses on the topic "Large deformation large strain"

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Brown, Rebecca A. (Rebecca Ann) 1976. "Large strain deformation of PETG as processing temperatures." Thesis, Massachusetts Institute of Technology, 2000. http://hdl.handle.net/1721.1/88847.

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Rückert, Jens, and Arnd Meyer. "Kirchhoff Plates and Large Deformation." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-96896.

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In the simulation of deformations of plates it is well known that we have to use a special treatment of the thickness dependence. Therewith we achieve a reduction of dimension from 3D to 2D. For linear elasticity and small deformations several techniques are well established to handle the reduction of dimension and achieve acceptable numerical results. In the case of large deformations of plates with non-linear material behaviour there exist different problems. For example the analytical integration over the thickness of the plate is not possible due to the non-linearities arising from the material law and the large deformations themselves. There are several possibilities to introduce a hypothesis for the treatment of the plate thickness from the strong Kirchhoff assumption on one hand up to some hierarchical approaches on the other hand.
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Honeker, Christian. "Large strain deformation behavior of oriented triblock copolymer cylinders." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/10430.

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Parsons, Ethan M. (Ethan Moore) 1972. "Mechanics of large-strain deformation of particle-modified polymers." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/37048.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2006.
Includes bibliographical references (p. 267-274).
Over the past several decades, engineering polymers have become increasingly prevalent in the manufacture of virtually all types of products. Polymers are substantially less dense than metals, easy to machine, and readily formed into quite complex geometries. The properties of polymers may be altered by the introduction of second-phase particles. Typically, soft, rubber particles are added to increase fracture toughness while rigid, mineral particles are added to reduce costs or to increase stiffness, thermostability, or porosity. The deformation to large strains of particle-modified thermoplastic polymers is investigated. Blends with rubber particles and blends with calcium carbonate particles are considered. A novel experimental technique is utilized to characterize the three-dimensional deformation of polycarbonate blends and high-density polyethylene blends during uniaxial tension tests. True stress, true strain, volumetric strain, and full-field contours of strain are extracted from images of the deforming specimens. The experimental results are used to construct and verify single-particle and multi-particle micromechanical models.
(cont.) In the micromechanical models, the stress triaxiality ratio and the properties of the particles, matrix, and interfaces are varied in order to determine their effects on local and macroscopic deformation. A constitutive model for polymers with perfectly bonded or debonding rigid particles is developed based on the knowledge gained from the experiments and micromechanical models.
by Ethan Moore Parsons.
Ph.D.
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Hillmansen, Stuart. "Large strain bulk deformation and brittle tough transitions in polythene." Thesis, Imperial College London, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.272493.

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Paloumbi, Vassia Vasiliki. "Monitoring large strain deformation in the processing of polyethylene pipes." Thesis, Imperial College London, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.497537.

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Barnhoorn, Auke. "Rheological and microstructural evolution of carbonate rocks during large strain torsion experiments /." [Zurich] : [s.n.], 2003. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=15309.

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Hoover, Luke Daniel. "Large Strain Plastic Deformation of Traditionally Processed and Additively Manufactured Aerospace Metals." University of Dayton / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1627570139729633.

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Ssemakula, Hamzah. "Manufacturihng of heavy rings and large copper canisters by plastic deformation." Doctoral thesis, KTH, Production Engineering, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3682.

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Plastic deformation processes transform material fromas-received state to products meeting certain requirements inproperties, microstructure and shape. To achieve thistransformation, the relationship between material response andprocess conditions should be understood. This is usuallycomplicated by the complex conditions describing the actualprocess. Numerous techniques including empirical, physical,analytical and numerical can be employed.

In this thesis, numerical technique supported by lab- andfull-scale experiments has been employed to analyse the formingparameters. The first part of the thesis is focused on the useof such parameters to predict occurrence of material poresduring manufacturing of bearing rings. The second part dealswith the influence of forming parameters on the grain sizeduring fabrication of large copper canisters for encapsulationof nuclear waste. The primary task has been to study with thehelp of commercial FE-codes the magnitude and distribution offorming parameters such as accumulated effective strain,temperature, instantaneous hydrostatic pressure and materialflow at different stages of the forming process. In the firstpart, two types of ring manufacturing routes, which result inpore free and pore loaded rings are studied and compared.Material elements located in different areas of the workpiecehave been traced throughout the process. Results of theaccumulated strain and instant hydrostatic pressure have beenanalysed and presented in pressure-strain space. It’sassumed that high hydrostatic pressures together with higheffective strains are favourable for pore closure. Area of theworkpiece with unfavourable parameters have been identified andcompared with ultrasonic test results. Good agreement has beenobtained. Based on the results of this analysis, a new conceptfor avoiding pores in manufacturing of yet heavier rings hasbeen presented. The concept proposes a lighter upsetting in theinitial stage of the process and a more efficient piercingwhich results in higher hydrostatic pressure and bigger andbetter distributed effective strain.

In the second part of the thesis, the influence of formingparameters such as effective strain and temperature on thefinal grain size of the product has been studied in laboratoryscale. As-cast billets of cylindrical shape were extruded atdifferent temperatures and reductions. It has been shown thatthe grain size in the final product should be small in order toenable ultrasonic tests and to guarantee resistance towardscreep and corrosion. Simulations for different materialelements located at different distances from the axis ofsymmetry of the initial cylindrical workpiece have been carriedout. In this way, the parameters describing the deformationhistory of the elements have been determined as functions oftime. Experimentally obtained pre- and post deformation grainsize in the corresponding locations of the material weredetermined. It’s concluded that low temperature coupledwith high effective strain are conducive for obtaining a smallgrain size. Based on the beneficial conditions for extrusion ofcopper, a more detailed FE-analysis of a full-scale industrialprocess is carried out. A coarse-grained cast ingot of purecopper is heated and by upset forging formed into a cylinder,which is then punched into a hollow blank for subsequentextrusion. The blank is extruded over a mandrel through a45-degree semi-angle die. Accumulated effective strain andtemperatureas functions of the tubular wall thickness havebeen studied at five different locations along the tubularaxis. Forming load requirement as function of tool displacementfor each stage of the process has been determined. Strain andtemperature levels obtained have been related to the grain sizeinterval obtained in the earlier work. It has been concludedthat the levels reached are within the interval that ensures asmall grain size. A similar analysis has been carried out forforging of large copper lids and bottoms. Die designmodifications to improve the grain size in the lid and tooptimise the forging process with respect to forging load andmaterial yield have been proposed. A method requiring a smallforging load for fabrication of the lids has been analysed

Keywords:Pores; grain size; low forging load; effective strain;temperature; hydrostatic pressure; extrusion; forging;canister; lid; rings

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Yao, Shulong. "Highly Stretchable Miniature Strain Sensor for Large Dynamic Strain Measurement." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc849674/.

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This thesis aims to develop a new type of highly stretchable strain sensor to measure large deformation of a specimen subjected to dynamic loading. The sensor was based on the piezo-resistive response of carbon nanotube(CNT)/polydimethysiloxane (PDMS) composites thin films, some nickel particles were added into the sensor composite to improve the sensor performance. The piezo-resistive response of CNT composite gives high frequency response in strain measurement, while the ultra-soft PDMS matrix provides high flexibility and ductility for large strain measuring large strain (up to 26%) with an excellent linearity and a fast frequency response under quasi-static test, the delay time for high strain rate test is just 30 μs. This stretchable strain sensor is also able to exhibit much higher sensitivities, with a gauge factor of as high as 80, than conventional foil strain gauges.
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Books on the topic "Large deformation large strain"

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Faust, Frederick Schiller. The wolf strain. Oxford: Isis, 2014.

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Teodosiu, C., ed. Large Plastic Deformation of Crystalline Aggregates. Vienna: Springer Vienna, 1997. http://dx.doi.org/10.1007/978-3-7091-2672-1.

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Molenkamp, F. Dynamics of large deformation elasto-visco plasticity. Manchester: UMIST, 1998.

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West, G. Stress-strain behaviour of large specimens of mudstone. Crowthorne, Berks: Transport and Road Research Laboratory, Highways and Structures Dept., Ground Engineering Division, 1985.

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Al-Bermani, F. G. A. Elasto-plastic large deformation analysis f thin-walled structures. St. Lucia: University of Queensland, Dept. of Civil Engineering, 1989.

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Carper, Douglas M. Large deformation behavior of long shallow cylindrical composite panels. Hampton, Va: Langley Research Center, 1991.

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Lee, J. W. Boundary integral methods for thermally coupled large deformation problems. Manchester: UMIST, 1993.

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Faust, Frederick Schiller. The wolf strain: A western trio. Unity, Me: Five Star, 1996.

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Faust, Frederick Schiller. The wolf strain: A western trio. Thorndike, Me: G.K. Hall, 1997.

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Ikonen, Kari. Large inelastic deformation analysis of steel pressure vessels at high temperature. Espoo [Finland]: Technical Research Centre of Finland, 2001.

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Book chapters on the topic "Large deformation large strain"

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Besseling, J. F., and E. Van Der Giessen. "Large strain inelasticity." In Mathematical Modelling of Inelastic Deformation, 241–309. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-7186-9_7.

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Klepaczko, J. R., and M. Zenasni. "Rate sensitivity of copper at large strains and high strain rates." In Large Plastic Deformations, 309–14. London: Routledge, 2021. http://dx.doi.org/10.1201/9780203749173-36.

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Ueda, Kyohei. "Large Deformation (Finite Strain) Analysis: Theory." In Developments in Earthquake Geotechnics, 367–88. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62069-5_17.

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Fujii, Noriyuki. "Large Deformation (Finite Strain) Analysis: Application." In Developments in Earthquake Geotechnics, 389–409. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62069-5_18.

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Akeret, R. "Failure by selective growth of grain-scale strain inhomogeneities." In Large Plastic Deformations, 195–203. London: Routledge, 2021. http://dx.doi.org/10.1201/9780203749173-21.

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Leffers, Torben. "Microstructures, textures and deformation patterns at large strains." In Large Plastic Deformations, 73–86. London: Routledge, 2021. http://dx.doi.org/10.1201/9780203749173-7.

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Voyiadjis, George Z., and Srinivasan M. Sivakumar. "A finite strain and rate-dependent cyclic plasticity model for metals." In Large Plastic Deformations, 353–60. London: Routledge, 2021. http://dx.doi.org/10.1201/9780203749173-42.

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Li, X. M., F. P. Chiang, J. Wu, and M. Dudley. "Experimental measurement of crack tip strain field in a single crystal." In Large Plastic Deformations, 143–51. London: Routledge, 2021. http://dx.doi.org/10.1201/9780203749173-15.

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Huang, X., Q. Xing, Dorte Juul Jensen, and Niels Hansen. "Large Strain Deformation and Annealing of Aluminium." In Materials Science Forum, 79–84. Stafa: Trans Tech Publications Ltd., 2006. http://dx.doi.org/10.4028/0-87849-408-1.79.

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Brodland, G. Wayne. "Large-Strain Kinematics of Deforming Cell Sheets." In Biomechanics of Active Movement and Deformation of Cells, 505–10. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-83631-2_23.

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Conference papers on the topic "Large deformation large strain"

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Xu, Lei, Theocharis Baxevanis, and Dimitris Lagoudas. "A Three-Dimensional Constitutive Model for Polycrystalline Shape Memory Alloys Under Large Strains Combined With Large Rotations." In ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/smasis2018-8050.

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Shape Memory Alloys (SMAs), known as an intermetallic alloys with the ability to recover its predefined shape under specific thermomechanical loading, has been widely aware of working as actuators for active/smart morphing structures in engineering industry. Because of the high actuation energy density of SMAs, compared to other active materials, structures integrated with SMA-based actuators has high advantage in terms of tradeoffs between overall structure weight, integrity and functionality. The majority of available constitutive models for SMAs are developed within infinitesimal strain regime. However, it was reported that particular SMAs can generate transformation strains nearly up to 8%–10%, for which the adopted infinitesimal strain assumption is no longer appropriate. Furthermore, industry applications may require SMA actuators, such as a SMA torque tube, undergo large rotation deformation at work. Combining the above two facts, a constitutive model for SMAs developed on a finite deformation framework is required to predict accurate response for these SMA-based actuators under large deformations. A three-dimensional constitutive model for SMAs considering large strains with large rotations is proposed in this work. This model utilizes the logarithmic strain as a finite strain measure for large deformation analysis so that its rate form hypoelastic constitutive relation can be consistently integrated to deliver a free energy based hyper-elastic constitutive relation. The martensitic volume fraction and the second-order transformation strain tensor are chosen as the internal state variables to characterize the inelastic response exhibited by polycrystalline SMAs. Numerical experiments for basic SMA geometries, such as a bar under tension and a torque tube under torsion are performed to test the capabilities of the newly proposed model. The presented formulation and its numerical implementation scheme can be extended in future work for the incorporation of other inelastic phenomenas such as transformation-induced plasticity, viscoplasticity and creep under large deformations.
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Shafieian, Mehdi, and Kurosh Darvish. "Viscoelastic Properties of Brain Tissue Under High-Rate Large Deformation." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-11681.

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The nonlinearity of brain tissue material behavior for large deformations at high strain rates was investigated. The viscoelastic properties of brain tissue under high rate ramp- and hold shear strains were determined and nonlinearity in the elastic and time dependent properties of the tissue were examined based on modeling the experimental data. The results revealed that the elastic response of brain tissue is linear from 10% to 50% shear strain, but the time dependent part of the properties in short times shows nonlinear behavior.
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Sharbati, Ehsan, and Reza Naghdabadi. "Large Deformation Analysis of Elastic Cosserat Continua by FEM." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95288.

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Based on the non linear terms appearing in the strain tensor in classical continuum mechanics, two expressions for large strain in the Cosserat continuum are proposed. The generalized form of principal of virtual work together with the constitutive equations for an isotropic elastic Cosserat continuum are used to derive the finite element formulations for elastic large deformation analysis based on the Cosserat theory. The finite element formulations are then applied to a four-node quadrilateral element with three degrees of freedom at each node including two translational and one rotational degrees of freedom. The tension of a semi-infinite plate with a circular whole in the center is solved using the Cosserat finite element formulation and the results are compared with those obtained by the classical theory. Also, pure bending and shear of a cantilever beam are done and the differences of the results obtained based on the two proposed formulations of large strains are investigated.
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Tetambe, Ravi P., and Sunil S. Saigal. "Adaptive Large Deformation Viscoplastic Finite Element Analysis." In ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium collocated with the ASME 1995 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/cie1995-0747.

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Abstract The adaptive remeshing and rezoning procedures developed for large deformation finite element analysis using viscoplastic material model are presented in two dimensions. The adaptive procedure is driven by the posteriori error estimation technique. The nonlinear error estimators based on the energy rate norm error and the L2 norm error of incremental total strains are used for error computation. The remeshing algorithm creates new acceptable meshes in the course of the deformation process without any loss of geometric information. The remeshing of the current geometry is achieved using the boundary refinement technique. This technique is observed to be sufficiently accurate in problems where mesh refinement is largely required at the boundary or very close to the boundary of the structure. The rezoning procedure is then used to accurately interpolate the solution variables from the existing mesh to the new adaptively created mesh. The element subdivision approach is used during the rezoning process. The adaptive remeshing and rezoning procedures are developed for 6-node triangular element. These procedures are implemented in the general purpose finite element program, ANSYS [13], and are validated by solving two complex large strain examples. In both examples, these procedures are successful in achieving very high deformation levels in a structure.
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Wham, Brad P., Christina Argyrou, Thomas D. O’Rourke, Harry E. Stewart, and Timothy K. Bond. "PVCO Pipeline Performance Under Large Ground Deformation." In ASME 2015 International Pipeline Geotechnical Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/ipg2015-8508.

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Technological advances have improved pipeline capacity to accommodate large ground deformation associated with earthquakes, floods, landslides, tunneling, deep excavations, mining, and subsidence. The fabrication of polyvinyl chloride (PVC) piping, for example, can be modified by expanding PVC pipe stock to approximately twice its original diameter, thus causing PVC molecular chains to realign in the circumferential direction. This process yields biaxially oriented polyvinyl chloride (PVCO) pipe with increased circumferential strength, reduced pipe wall thickness, and enhanced cross-sectional flexibility. This paper reports on experiments performed at the Cornell University Large-Scale Lifelines Testing Facility characterizing PVCO pipeline performance in response to large ground deformation. The evaluation was performed on 150-mm (6-in.)-diameter PVCO pipelines with bell-and-spigot joints. The testing procedure included determination of fundamental PVCO material properties, axial joint tension and compression tests, four-point bending tests, and a full-scale fault rupture simulation. The test results show the performance of segmental PVCO pipelines under large ground deformation is strongly influenced by the axial pullout and compressive load capacity of the joints, as well as their ability to accommodate deflection and joint rotation. The PVCO pipeline performance is quantified in terms of its capacity to accommodate horizontal ground strain, and compared with a statistical characterization of lateral ground strains caused by soil liquefaction during the Canterbury earthquake sequence in New Zealand.
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Yang, Eunice E., Mary Frecker, and Eric Mockensturm. "Large Electrostatic Deformation of a Dielectric Elastomer Annulus." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-43676.

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A large quasi-static deformation analysis of a thin annulus made of dielectric elastomer is presented in this paper. The material is assumed to be perfectly elastic, isotropic, and incompressible. An electric field is applied through the thickness of the annulus. The outer periphery of the annulus is held fixed, while the inner periphery is free to move. The radial stress and strain distributions are determined using two nonlinear differential equations obtained from equilibrium, stress-strain and geometric relations. Mooney’s (1940) from of the strain energy function is used for the analysis. The non-linear differential equations are solved for the principal extension ratios, λ1 and λ2, using Matlab’s two-point boundary value function BCP4C. The radial and circumferential stresses are calculated using the derived solutions. The resluts of the mathematical model showed that for increasing effective (squeeze) pressure, the readial and circumferential stress transitions from tensile to compressive states at a “critical” effective (squeeze) pressure. Also, for the annulus with non-zero hole pressure, there exists an operating range for both the hole pressure and effective (squeeze) pressure of which the model is mathematically as well as physically viable.
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Cai, Wayne W., John E. Carsley, Daniel B. Hayden, Louis G. Hector, and Thomas B. Stoughton. "Estimation of Metal Hardening Models at Large Strains." In ASME 2007 International Manufacturing Science and Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/msec2007-31137.

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Simulation accuracy of large strain deformation of sheet metals, such as that which occurs during hemming and vehicle crash situations, is limited because existing hardening laws (true stress vs. true strain relationships) are extrapolated from uniform elongation data and applied for post-uniform deformation. In this paper, a reverse-engineering method was developed to predict metal hardening laws at large strains beyond uniform elongation for sheet metals. The method required a standard uniaxial tensile test and finite element analyses (FEA), and was implemented as a custom computer code called GMSS (General Motors Stress-Strain). The true stress vs. true strain data pairs are determined when the load and displacement history of a tensile test specimen matches the FEA results using GMSS. Test cases showed that the true stress vs. true strain relationships at very large strains (75% for AA6111 aluminum, and 85% for DP600 steel) could be automatically generated using GMSS. This reverse-engineering method will provide General Motors with an easy-to-use tool for generating very accurate metal hardening laws for post-uniform deformation that can greatly improve the accuracy of FEA for formability (including hemming), and crashworthiness simulations.
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8

Bae, Gihyun. "Strain rate-dependent flow stress curves in the large deformation range." In NUMISHEET 2014: The 9th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes: Part A Benchmark Problems and Results and Part B General Papers. AIP, 2013. http://dx.doi.org/10.1063/1.4850022.

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Drachinsky, Ariel, Maxim Freydin, and Daniella E. Raveh. "Large Deformation Shape Sensing Using a Nonlinear Strain To Displacement Method." In AIAA SCITECH 2022 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2022. http://dx.doi.org/10.2514/6.2022-2187.

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Richards, Mark, Michael J. Hernandez, Jeffrey A. Weiss, Alan S. Wineman, James A. Goulet, and Steven A. Goldstein. "The Large-Deformation Behavior of Mesenchymal Distraction Gap Tissue." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0265.

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Abstract A combined experimental and computational approach was adopted to determine a constitutive relationship for mesenchymal gap tissue generated during distraction osteogenesis. Harvested distraction zones were tested to failure in uniaxial tension and 3-D FE models were constructed to simulate mechanical testing. A specific form for the strain energy function was adopted to obtain strain-stiffening behavior. Theoretical uniaxial tension predictions were consistently lower than those from 3-D FEA. By refining the values of the three material parameters, a force-displacement curve in excellent agreement with the experimental results was obtained. This formulation appears capable of capturing the essential elements of the behavior of distraction gap tissue. These results can be implemented to predict strain distributions within this tissue and improve our understanding of how the mechanical environment affects bone regeneration and precursor tissue differentiation during distraction.
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Reports on the topic "Large deformation large strain"

1

Anand, Lallit. Large Deformation Plasticity of Polycrystalline Tantalum. Fort Belvoir, VA: Defense Technical Information Center, December 2000. http://dx.doi.org/10.21236/ada391221.

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2

Horgan, Cornelius O. Large Deformation Failure Mechanisms in Nonlinear Solids. Fort Belvoir, VA: Defense Technical Information Center, January 1995. http://dx.doi.org/10.21236/ada293010.

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Cramer, S. M., J. C. Hermanson, and W. M. McMurtry. Characterizing large strain crush response of redwood. Office of Scientific and Technical Information (OSTI), December 1996. http://dx.doi.org/10.2172/437675.

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4

Mikkola, Aki M., and Ahmed A. Shabana. A Large Deformation Plate Element for Multibody Applications. Fort Belvoir, VA: Defense Technical Information Center, October 2000. http://dx.doi.org/10.21236/ada384568.

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Plohr, Bradley J., and Jeeyeon N. Plohr. Large Deformation Constitutive Laws for Isotropic Thermoelastic Materials. Office of Scientific and Technical Information (OSTI), July 2012. http://dx.doi.org/10.2172/1047120.

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Callahan, G. D., and K. L. DeVries. WIPP Benchmark calculations with the large strain SPECTROM codes. Office of Scientific and Technical Information (OSTI), August 1995. http://dx.doi.org/10.2172/104763.

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Hijab, R., and R. Muller. Residual strain effects on large aspect ratio micro-diaphragms. Office of Scientific and Technical Information (OSTI), September 1988. http://dx.doi.org/10.2172/5367418.

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Schunk, Peter Randall, David R. Noble, Thomas A. Baer, Rekha Ranjana Rao, Patrick K. Notz, and Edward Dean Wilkes. Large deformation solid-fluid interaction via a level set approach. Office of Scientific and Technical Information (OSTI), December 2003. http://dx.doi.org/10.2172/918218.

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Lower, Mark D. Strain-Based Design Methodology of Large Diameter Grade X80 Linepipe. Office of Scientific and Technical Information (OSTI), April 2014. http://dx.doi.org/10.2172/1133475.

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Beckwith, Frank. Verification and large deformation analysis using the reproducing kernel particle method. Office of Scientific and Technical Information (OSTI), September 2015. http://dx.doi.org/10.2172/1222659.

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