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Relevant bibliographies by topics / Deformations (Mechanics) – Mathematical models

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Academic literature on the topic 'Deformations (Mechanics) – Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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Journal articles on the topic "Deformations (Mechanics) – Mathematical models"

1

Faddeev, Alexander O., Svetlana A. Pavlova, and Tatiana M. Nevdakh. "Mathematical Models and Evaluation Software for Stress-Strain State of the Earth’s Lithosphere." Engineering Technologies and Systems, no. 1 (March 29, 2019): 51–66. http://dx.doi.org/10.15507/2658-4123.029.201901.051-066.

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Introduction. For the purposes of this article, geodeformation processes mean processes associated with deformations arising from the movement of species and blocks of the lithosphere at various depths, including surfaces. The objective is to reconstruct geodynamic stress fields, which cause modern shifts and deformations in the Lithosphere. A mathematical model and software for estimating the stress-strain state of the Earth Lithosphere are considered. Materials and Methods.For mathematical modeling of stresses, isostatically reduced data on abnormal gravitation field were used. The methods o

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Petrushin, G. D., and A. G. Petrushina. "Determination of the area of mechanical hysteresis loop using mathematical models." Industrial laboratory. Diagnostics of materials 86, no. 5 (May 22, 2020): 59–64. http://dx.doi.org/10.26896/1028-6861-2020-86-5-59-64.

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A method of the hysteresis loop relates to the direct methods for determination of the energy dissipation and studying the inelasticity in the material. The method is based on the direct formation of the mechanical hysteresis loop by static loading and unloading of the sample and measuring of the corresponding deformations. The relative energy dissipation is defined as the ratio of the hysteresis loop area to the elastic energy corresponding to the maximum amplitude of strain. Construction of the hysteresis loop is performed on the installation «torsional pendulum for determination of the mech

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SACHSE, FRANK B., GUNNAR SEEMANN, MATTHIAS B. MOHR, and ARUN V. HOLDEN. "MATHEMATICAL MODELING OF CARDIAC ELECTRO-MECHANICS: FROM PROTEIN TO ORGAN." International Journal of Bifurcation and Chaos 13, no. 12 (December 2003): 3747–55. http://dx.doi.org/10.1142/s0218127403008910.

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Mathematical models of cardiac anatomy and physics provide information, which help to understand structure and behavior of the heart. Miscellaneous cardiac phenomena can only be adequately described by combination of models representing different aspects or levels of detail. Coupling of these models necessitates the definition of appropriate interfaces. Adequateness and efficiency of interfaces is crucial for efficient application of the combined models. In this work an integrated model is presented consisting of several models interconnected by interfaces. The integrated model allows the reco

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Ivanov, Evgeny, Olaf Lechtenfeld, and Stepan Sidorov. "Deformed N = 8 Supersymmetric Mechanics." Symmetry 11, no. 2 (January 26, 2019): 135. http://dx.doi.org/10.3390/sym11020135.

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We give a brief review of deformed N = 8 supersymmetric mechanics as a generalization of SU(2|1) mechanics. It is based on the worldline realizations of the supergroups SU(2|2) and SU(4|1) in the appropriate N = 8 , d = 1 superspaces. The corresponding models are deformations of the standard N = 8 mechanics models by a mass parameter m.

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Taghizadeh, D. M., and H. Darijani. "Mechanical Behavior Modeling of Hyperelastic Transversely Isotropic Materials Based on a New Polyconvex Strain Energy Function." International Journal of Applied Mechanics 10, no. 09 (November 2018): 1850104. http://dx.doi.org/10.1142/s1758825118501041.

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In this paper, the mechanical behavior of incompressible transversely isotropic materials is modeled using a strain energy density in the framework of Ball’s theory. Based on this profound theory and with respect to physical and mathematical aspects of deformation invariants, a new polyconvex constitutive model is proposed for the mechanical behavior of these materials. From the physical viewpoint, it is assumed that the proposed model is additively decomposed into three parts nominally representing the energy contributions from the matrix, fiber and fiber–matrix interaction where each of the

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Moerman, Kevin M., Behrooz Fereidoonnezhad, and J. Patrick McGarry. "Novel hyperelastic models for large volumetric deformations." International Journal of Solids and Structures 193-194 (June 2020): 474–91. http://dx.doi.org/10.1016/j.ijsolstr.2020.01.019.

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Bobkov, S. P., and I. V. Polishchuk. "Simulation and visualization of solid deformation upon impact." Vestnik IGEU, no. 2 (2020): 51–57. http://dx.doi.org/10.17588/2072-2672.2020.2.051-057.

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The use of adequate mathematical models to study the process of deformation of solids is an urgent issue for industrial engineering. It is known that under mechanical action the bodies are deformed and mechanical stresses arise in them, which, in turn, lead to destruction. Therefore, the simulation of deformation processes can be useful both in studying the issues of strength and reliability of equipment and for solving problems of fine grinding of solid fuels. Classical continuum models of continuum mechanics are useful for studying mechanical stresses in idealized environments and for bodies

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Consuegra, Franklin, Antonio Bula, Wilson Guillín, Jonathan Sánchez, and Jorge Duarte Forero. "Instantaneous in-Cylinder Volume Considering Deformation and Clearance due to Lubricating Film in Reciprocating Internal Combustion Engines." Energies 12, no. 8 (April 15, 2019): 1437. http://dx.doi.org/10.3390/en12081437.

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A new methodology for predicting the real instantaneous in-cylinder volume in the combustion chamber of a reciprocating internal combustion engine is implemented. The mathematical model developed as part of this methodology, takes into consideration the deformations due to pressure and inertial forces, via a deformation constant adjusted through ANSYS®, using a high-precision CAD model of a SOKAN SK-MDF300 engine. The deformation constant was obtained from the CAD model using the computational tool ANSYS® and the pressure data was obtained from the engine running at three regimes: 1500, 2500,

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Bulucea, Cornelia A., Constantin Brindusa, Doru A. Nicola, Nikos E. Mastorakis, Carmen A. Bulucea, and Philippe Dondon. "Evaluating through mathematical modelling the power equipment busbars electrodynamic strength under sudden short-circuit conditions." MATEC Web of Conferences 210 (2018): 02004. http://dx.doi.org/10.1051/matecconf/201821002004.

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The electrodynamic strength, as forces acting between the current-carrying electric circuits are exerted as long as the currents exist, and have the tendency of deformation and displacement of the circuits. In short-circuit regimes the strength in electrical equipment becomes severe. For instance, short-circuits highly affect power transformers connected to power transmission lines. The effects are also strong because of mechanical deformations occurring in the power transformer connection part. In line with this idea, in this paper it is made an analytical study upon the a.c. single-phase and

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Clifton, R. J., and F. P. Chiang. "Experimental Mechanics." Applied Mechanics Reviews 38, no. 10 (October 1, 1985): 1279–81. http://dx.doi.org/10.1115/1.3143691.

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Mechanical failure of machine parts, structures, and microelectronic components has a strong negative impact on the safety, security, and productivity of our people. Prevention of these failures is a principal focus of solid mechanics, which uses analysis, experiment, and computation to provide the understanding necessary for failure reduction through improved design, fabrication, and inspection. Experimental mechanics plays a critical role in this effort since it provides the data base for the calculations and the means for testing the validity of proposed theoretical models of failure. Curre

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Dissertations / Theses on the topic "Deformations (Mechanics) – Mathematical models"

1

Beckham, Jon Regan. "Analysis of mathematical models of electrostatically deformed elastic bodies." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 169 p, 2008. http://proquest.umi.com/pqdweb?did=1475178561&sid=27&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Miller, Matthew P. "Improved constitutive laws for finite strain inelastic deformation." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/16098.

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Gaballa, Mohamed Abdelrhman Ahmed. "Nonlinear multiphasic mechanics of soft tissue using finite element methods." Diss., The University of Arizona, 1989. http://hdl.handle.net/10150/184837.

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The purpose of the research was to develop a quantitative method which could be used to obtain a clearer understanding of the time-dependent fluid filteration and load-deformation behavior of soft, porous, fluid filled materials (e.g. biological tissues, soil). The focus of the study was on the development of a finite strain theory for multiphasic media and associated computer models capable of predicting the mechanical stresses and the fluid transport processes in porous structures (e.g. across the large blood vessels walls). The finite element (FE) formulation of the nonlinear governing equa

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Razavi, H. Ali. "Identification and control of grinding processes for intermetalic [sic] compunds [sic]." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/18917.

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Amany, Aya Nicole Marie. "Characterization of shear and bending stiffness for optimizing shape and material of lightweight beams." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=112553.

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Optimized slender and short-thick beams are used in building, aircraft and machine structures to increase performance at a lower material cost. A previous work proposes an optimum shape, material and size selection model to design lightweight slender beams under pure bending. In short-thick beams, the transverse shear effects are no longer negligible and impact the choice of the optimum shape. This work extends such an optimum selection model to consider both slender and short-thick beams, by formulating the total beam stiffness design requirement as a combination of shear and bending stiffnes

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Pant, Sudeep Raj. "Mathematical and physical modelling of crack growth near free boundaries in compression." University of Western Australia. School of Civil and Resource Engineering, 2005. http://theses.library.uwa.edu.au/adt-WU2005.0139.

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[Truncated abstract] The fracture of brittle materials in uniaxial compression is a complex process with the development of cracks generated from initial defects. The fracture mechanism and pattern of crack growth can be altered considerably by the presence of a free surface. In proximity of a free surface, initially stable cracks that require an increase in the load to maintain the crack growth can become unstable such that the crack growth maintains itself without requiring further increase in the load. This leads to a sudden relief of accumulated energy and, in some cases, to catastrophic

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Zheng, Xiao-Qin Materials Science &amp Engineering Faculty of Science UNSW. "Packing of particles during softening and melting process." Awarded by:University of New South Wales. School of Materials Science & Engineering, 2007. http://handle.unsw.edu.au/1959.4/31517.

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Softening deformation of iron ore in the form of sinter, pellet, and lump ore in the cohesive zone of an ironmaking blast furnace is an important phenomenon that has a significant effect on gas permeability and consequently blast furnace production efficiency. The macroscopic softening deformation behavior of the bed and the microscopic deformation behavior of the individual particles in the packed bed are investigated in this study using wax balls to simulate the fused layer behavior of the cohesive zone. The effects of softening temperature, load pressure, and bed composition (mono - single

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Golden, Christopher Lee. "Analysis of form errors in rings of non-uniform cross section due to workholding and machining loads." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/22703.

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Vohra, Sanjay. "A mechanics framework for modeling fiber deformation on draw rollers and freespans." Diss., Available online, Georgia Institute of Technology, 2006, 2006. http://etd.gatech.edu/theses/available/etd-05172006-141347/.

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Thesis (Ph. D.)--Polymer, Textile & Fiber Engineering, Georgia Institute of Technology, 2007.<br>Karl I. Jacob, Committee Chair ; Youjiang Wang, Committee Member ; Mary Lynn Realff, Committee Member ; Arun Gokhale, Committee Member ; Rami Haj-Ali, Committee Member.

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Reddy, Yeruva S. "Numerical simulation of damage and progressive failures in composite laminates using the layerwise plate theory." Diss., Virginia Tech, 1992. http://hdl.handle.net/10919/38534.

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Books on the topic "Deformations (Mechanics) – Mathematical models"

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Army Research Office Workshop on Constitutive Models (1986 Virginia Polytechnic Institute and State University). Constitutive models of deformation. Philadelphia: SIAM, 1987.

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2

Santaoja, Kari. Mathematical modelling of deformation mechanisms in ice. Espoo, Finland: Valtion teknillinen tutkimuskeskus, 1990.

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Benko, Boris. Numerical modelling of complex slope deformations. Ann Arbor, MI: UMI Dissertation Services, 2001.

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4

IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media (2008 Cape Town, South Africa). IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media: Proceedings of the IUTAM symposium held at Cape Town, South Africa, January 14-18, 2008. Edited by Reddy B. Dayanand 1953-. New York: Springer, 2008.

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IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media (2008 Cape Town, South Africa). IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media: Proceedings of the IUTAM symposium held at Cape Town, South Africa, January 14-18, 2008. Edited by Reddy B. Dayanand 1953-. New York: Springer, 2008.

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1925-, Avitzur Betzalel, ed. Elementary mechanics of plastic flow in metal forming. Chichester: J. Wiley, 1996.

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Zhuravkov, M. A. Matematicheskoe modelirovanie deformat︠s︡ionnykh prot︠s︡essov v tverdykh deformiruemykh sredakh: Na primere zadach mekhaniki gornykh porod i massivov : kurs lekt︠s︡iĭ. Minsk: BGU, 2002.

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Chislennoe issledovanie prot͡s︡essa deformat͡s︡ii materialov beskoordinatnym metodom. Vladivostok: "Dalʹnauka", 1995.

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9

1936-, Popova Mariana, ed. Mekhanika na materialite. Sofii︠a︡: Marin Drinov, 2009.

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1936-, Popova Mariana, ed. Mekhanika na materialite. Sofii︠a︡: Marin Drinov, 2009.

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Book chapters on the topic "Deformations (Mechanics) – Mathematical models"

1

Sanavia, Lorenzo, Bernhard A. Schrefler, and Paul Steinmann. "A Mathematical and Numerical Model for Finite Elastoplastic Deformations in Fluid Saturated Porous Media." In Modeling and Mechanics of Granular and Porous Materials, 293–340. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0079-6_10.

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Besseling, J. F., and E. Van Der Giessen. "Elementary models for small deformations." In Mathematical Modelling of Inelastic Deformation, 78–125. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-7186-9_4.

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Gaveau, Bernard, Julian Ławrynowicz, and Leszek Wojtczak. "Statistical Mechanics of a Crystal Surface." In Deformations of Mathematical Structures II, 265–88. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1896-5_11.

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Chapelle, Dominique, and Klaus-Jürgen Bathe. "Shell Mathematical Models." In Computational Fluid and Solid Mechanics, 81–114. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05229-7_4.

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Chapelle, Dominique, and Klaus-Jürgen Bathe. "Shell Mathematical Models." In Computational Fluid and Solid Mechanics, 95–134. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16408-8_4.

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Lévay, Péter. "Adiabatic curvature, chaos and the deformations of Riemann Surfaces." In Mathematical Results in Quantum Mechanics, 307–14. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8745-8_29.

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Ławrynowicz, Julian, Leszek Wojtczak, Shozo Koshi, and Osamu Suzuki. "Stochastical Mechanics of Particle Systems in Clifford-Analytical Formulation Related to Hurwitz Pairs of Bidimension (8,5)." In Deformations of Mathematical Structures II, 213–62. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1896-5_10.

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Ashwin, K. P., and Ashitava Ghosal. "Mathematical Model for Pressure–Deformation Relationship of Miniaturized McKibben Actuators." In Lecture Notes in Mechanical Engineering, 267–78. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8597-0_23.

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Miara, Bernadette. "Mathematical Justifications of Plate Models." In Encyclopedia of Continuum Mechanics, 1514–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55771-6_138.

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Miara, Bernadette. "Mathematical Justifications of Plate Models." In Encyclopedia of Continuum Mechanics, 1–9. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-53605-6_138-1.

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Conference papers on the topic "Deformations (Mechanics) – Mathematical models"

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Manzhirov, Alexander V. "Mechanics of Growing Solids: New Track in Mechanical Engineering." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-36712.

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A vast majority of objects around us arise from some growth processes. Many natural phenomena such as growth of biological tissues, glaciers, blocks of sedimentary and volcanic rocks, and space objects may serve as examples. Similar processes determine specific features of many industrial processes which include crystal growth, laser deposition, melt solidification, electrolytic formation, pyrolytic deposition, polymerization and concreting technologies. Recent researches indicates that growing solids exhibit properties dramatically different from those of conventional solids, and the classica

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Bulgakov, Alexej, and Thomas Bock. "Mathematical Models Construction for Building Robots with Due Account of Elastic Deformations of Mechanisms." In 22nd International Symposium on Automation and Robotics in Construction. International Association for Automation and Robotics in Construction (IAARC), 2005. http://dx.doi.org/10.22260/isarc2005/0012.

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Mattikalli, Raju, Saba Mahanian, Alan Jones, and Greg Clark. "Modeling Compliant Part Assembly: Mechanics of Deformation and Contact." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dfm-14036.

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Abstract This paper describes an approach to model the mechanics of assembly by assuming parts are compliant. The approach involves a model of contact between compliant bodies based on variational inequalities. This approach has a number of advantages over current finite element codes, which rely on traditional variational approaches such as penalty force methods and Lagrange multipliers to resolve multiple unknown contact conditions. From a mathematical point of view, contact problems among compliant parts are particularly difficult to handle due to the fact that contact constraints are not p

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Tan, Zhimin, Michael Case, and Terry Sheldrake. "Higher Order Effects on Bending of Helical Armor Wire Inside an Unbonded Flexible Pipe." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67106.

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This paper investigates the higher order geometrical effects on the deflections of a helical armour wire when the pipe is subjected to uniform bending and is away from any end effects from its remaining fittings (end fittings), and the effect on the subsequent bending stresses. Due to its complexity in both geometrical shape and loading conditions, the approaches found in the literature are often to assume either a bent helix or geodesic as its deflected configuration with linearized mathematical expressions for simplification. The bending stresses are then calculated based on the geometrical

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Lortz, Wolfgang, and Radu Pavel. "Advanced Modeling of Drilling – Realistic Process Mechanics Leading to Helical Chip Formation." In ASME 2021 16th International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/msec2021-63790.

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Abstract There is considerable interest in the “Industry 4.0 project”. Industry hopes that a general solution of the metal removal problem will be found through the use of highly automated manufacturing data. Scientists hope that the computer will provide better models based on artificial intelligence and machine learning. Initial attempts leveraging existing models did not result in satisfactory results yet — largely because of mathematical, physical and metallurgical reasons. This paper presents a new mathematical-physical model to describe the total process mechanics from volume conservatio

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Lortz, Wolfgang, and Radu Pavel. "Fundamental Process Mechanics Common to Machining and Grinding Operations." In ASME 2020 15th International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/msec2020-8371.

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Abstract All different production processes have one thing in common: in each case a workpiece with characteristic material behavior, stress, strain, self-hardening and temperature will be produced by a tool with special geometry and individual kinematic conditions, with a wide range of energy in a designed machine tool which is working along programmed lines. For the workpiece material, it is not important from which machine the energy is coming. To be able to predict more accurate values of the production process, it will be necessary to focus more on the complex and difficult process mechan

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Zhao, Huyue, and F. Ehmann Kornel. "Single- and Multi-Stand Chatter Models in Tandem Rolling Mills." In ASME 2008 International Manufacturing Science and Engineering Conference collocated with the 3rd JSME/ASME International Conference on Materials and Processing. ASMEDC, 2008. http://dx.doi.org/10.1115/msec_icmp2008-72530.

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Many different modes of chatter and their possible causes have been identified after years of research, yet no clear and definite theory of their mechanics has been established. One of the most important reasons for this can be attributed to the fact that only oversimplified models with a single input and a single output were historically used to formulate chatter in rolling. Such a situation has hindered a complete analysis of the underlying mechanisms. In this paper, a state-space representation of single- and multi-stand chatter models will be proposed in a rigorous and comprehensive mathem

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Ebna Hai, Bhuiyan Shameem Mahmood, and Markus Bause. "Adaptive Multigrid Methods for Extended Fluid-Structure Interaction (eXFSI) Problem: Part I — Mathematical Modelling." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53265.

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This contribution is the first part of three papers on Adaptive Multigrid Methods for eXtended Fluid-Structure Interaction (eXFSI) Problem, where we introduce a monolithic variational formulation and solution techniques. In a monolithic nonlinear fluid-structure interaction (FSI), the fluid and structure models are formulated in different coordinate systems. This makes the FSI setup of a common variational description difficult and challenging. This article presents the state-of-the-art of recent developments in the finite element approximation of FSI problem based on monolithic variational fo

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Lake, Spencer P., Daniel H. Cortes, Jennifer A. Kadlowec, Dawn M. Elliott, and Louis J. Soslowsky. "Comparison of Experimental and Affine-Predicted Fiber Kinematics in Human Supraspinatus Tendon." In ASME 2010 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2010. http://dx.doi.org/10.1115/sbc2010-19234.

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Mathematical modeling approaches are frequently used to characterize and predict the mechanics of biological soft tissues. Structurally-based continuum models, which describe the relationship of the constituents’ properties (i.e., collagen fibers, matrix) to overall tissue properties, require knowledge of the relationship between microscopic (fiber) and macroscopic (tissue) deformation. The most common and straightforward approach is the use of an affine model, which assumes that local fiber kinematics follow the global tissue deformation. Although the affine assumption is often used in consti

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Green, Christopher K., Jeffrey L. Streator, Comas Haynes, and Edgar Lara-Curzio. "Leakage Studies With Seals for Solid-Oxide Fuel Cells." In ASME/STLE 2007 International Joint Tribology Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ijtc2007-44243.

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This research seeks to characterize the gas leakage of a mica-based compressive seal assembly in planar solid-oxide fuel cells through modeling and experiment. In particular, it is of interest to assess how certain physical parameters (i.e., seal material composition, compressive applied stress, and surface finish) affect leakage rates. Finite element analysis is used to determine the macroscopic stresses and deformations in the sealing interface, while a microscale contact mechanics analysis is employed to model the role of surface roughness on the mean interfacial gap at the interface. An av

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