Relevant bibliographies by topics / Continuum mechanics

Academic literature on the topic 'Continuum mechanics'

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Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Continuum mechanics"

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Liu,, I.-Shih, and E. DeSantiago,. "Continuum Mechanics." Applied Mechanics Reviews 56, no. 3 (May 1, 2003): B34—B35. http://dx.doi.org/10.1115/1.1566392.

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Romano, Giovanni, Raffaele Barretta, and Marina Diaco. "Geometric continuum mechanics." Meccanica 49, no. 1 (June 28, 2013): 111–33. http://dx.doi.org/10.1007/s11012-013-9777-9.

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Silbermann, C. B., and J. Ihlemann. "Analogies between continuum dislocation theory, continuum mechanics and fluid mechanics." IOP Conference Series: Materials Science and Engineering 181 (March 2017): 012037. http://dx.doi.org/10.1088/1757-899x/181/1/012037.

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Zhang-ji, Lu. "Micropolar continuum mechanics is more profound than classical continuum mechanics." Applied Mathematics and Mechanics 8, no. 10 (October 1987): 939–46. http://dx.doi.org/10.1007/bf02454256.

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Molerus, O. "Fluid mechanics and continuum mechanics." Heat and Mass Transfer 44, no. 5 (May 30, 2007): 625–33. http://dx.doi.org/10.1007/s00231-007-0284-1.

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Burr, A., F. Hild, and F. A. Leckie. "Micro-mechanics and continuum damage mechanics." Archive of Applied Mechanics 65, no. 7 (September 1995): 437–56. http://dx.doi.org/10.1007/bf00835656.

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Santaoja, Kari Juhani. "On continuum damage mechanics." Rakenteiden Mekaniikka 52, no. 3 (August 31, 2019): 125–47. http://dx.doi.org/10.23998/rm.76025.

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A material containing spherical microvoids with a Hookean matrix response was shown to take the appearance usually applied in continuum damage mechanics. However, the commonly used variable damage D was replaced with the void volume fraction f , which has a clear physical meaning, and the elastic strain tensor \Bold {ε}^e with the damage-elastic strain tensor \Bold {ε}^{de}. The postulate of strain equivalence with the effective stress concept was reformulated and applied to a case where the response of the matrix obeys Hooke’s law. In contrast to many other studies, in the derived relation between the effective stress tensor \Bold {\Tilde{σ}} and the stress tensor \Bold {σ}, the tensor \Bold {\Tilde{σ}} is symmetric. A uniaxial bar model was introduce for clarifying the derived results. Other candidates for damage were demonstrated by studying the effect of carbide coarsening on creep rate.
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Pavelka, Michal, Ilya Peshkov, and Václav Klika. "On Hamiltonian continuum mechanics." Physica D: Nonlinear Phenomena 408 (July 2020): 132510. http://dx.doi.org/10.1016/j.physd.2020.132510.

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Besseling, J. F. "Mechanics and continuum thermodynamics." Archive of Applied Mechanics (Ingenieur Archiv) 70, no. 1-3 (February 22, 2000): 115–26. http://dx.doi.org/10.1007/s004199900049.

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Alfredsson, K. S., and U. Stigh. "Continuum damage mechanics revised." International Journal of Solids and Structures 41, no. 15 (July 2004): 4025–45. http://dx.doi.org/10.1016/j.ijsolstr.2004.02.052.

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Dissertations / Theses on the topic "Continuum mechanics"

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Kellermann, David Conrad Mechanical &amp Manufacturing Engineering Faculty of Engineering UNSW. "Strongly orthotropic continuum mechanics." Publisher:University of New South Wales. Mechanical & Manufacturing Engineering, 2008. http://handle.unsw.edu.au/1959.4/41454.

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The principal contribution of this dissertation is a theory of Strongly Orthotropic Continuum Mechanics that is derived entirely from an assertion of geometric strain indeterminacy. Implementable into the finite element method, it can resolve widespread kinematic misrepresentations and offer unique and purportedly exact strain-induced energies by removing the assumptions of strain tensor symmetry. This continuum theory births the proposal of a new class of physical tensors described as the Intrinsic Field Tensors capable of generalising the response of most classical mechanical metrics, a number of specialised formulations and the solutions shown to be kinematically intermediate. A series of numerical examples demonstrate Euclidean objectivity, material frame-indifference, patch test satisfaction, and agreement between the subsequent Material Principal Co-rotation and P??I??C decomposition methods that produce the intermediary stress/strain fields. The encompassing theory has wide applicability owing to its fundamental divergence from conventional mechanics, it offers non-trivial outcomes when applied to even very simple problems and its use of not the Eulerian, Lagrangian but the Intrinsic Frame generates previously unreported results in strongly orthotropic continua.
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Menzel, Andreas. "Frontiers in inelastic continuum mechanics." Kaiserslautern Techn. Univ., Lehrstuhl für Techn. Mechanik, 2007. http://d-nb.info/99794563X/34.

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Popovic, Marko. "Continuum mechanics of developing epithelia:." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-227283.

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Developing tissues are out-of-equilibrium systems that grow and reshape to form organs in adult animals. They are typically composed of a large number of cells. The constitutive cells of a tissue perform different roles in tissue development and contribute to the overall tissue shape changes. In this thesis, we construct a hydrodynamic theory of developing epithelial tissues. We use it to investigate the developing wing of the fruit fly Drosophila melanogaster. This theory relates the coarse-grained cell scale properties to the large-scale tissue flows. We explicitly account for the active cellular processes in the tissue that drive tissue flows. In our description of the tissue, we also include the memory effects that are necessary to account for the experimental observations. These memory effects have a significant influence on the tissue rheology. Using this hydrodynamic theory we analyze shear flow in a developing fruit fly wing tissue. We find that the active cellular processes contribute to overall tissue flows and that memory effects are present in the wing tissue. We investigate consequences of these findings on the rheology of tissue shear flow. We find that the memory effects give rise to an inertial response that leads to oscillations in the tissue but it does not stem from the wing mass. Finally, we describe how the tissue rheology is affected by different boundary conditions. We then investigate the area changes during the pupal wing development and we construct a mechanosensitive model for the cell extrusion rate in the pupal wing. Analysis of cell extrusions in the context of this model also allows us to extract information about the cell division properties. Boundary connections between the wing tissue and surrounding cuticle are crucial for the proper development of the pupal wing. A dumpy mutant wing is strongly misshaped during the pupal wing morphogenesis. We use a simple model for the wing to show that the dumpy mutant wing can be described as a wild type wing with compromised boundary conditions. Finally, we analyze cell properties and tissue flows in a developing wing disc epithelium. Motivated by the observation of radially oriented active T1 transitions in the wing disc epithelium, we use the hydrodynamic theory to investigate the influence of such T1 transitions on stresses in the tissue. We show that sufficiently strong radially oriented active T1 transitions can contribute to the control of the tissue size. Results obtained in this thesis extend our understanding of the fly wing tissue rheology and the role of internal and external forces in the proper shaping of the wing epithelium. The hydrodynamic theory we use to describe the fly wing development provides a set of phenomenological parameters that characterize the tissue mechanics and can be experimentally measured. Therefore, we expect that future research will include and extend the hydrodynamic theory presented in this thesis.
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Borrvall, Thomas. "Computational topology optimization in continuum mechanics /." Linköping : Univ, 2002. http://www.bibl.liu.se/liupubl/disp/disp2002/tek744s.pdf.

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Nyman, Ulf. "Continuum mechanics modelling of corrugated board /." Lund : Univ, 2004. http://www.byggmek.lth.se/.

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Wei, Zhiyan. "Studies in discrete and continuum mechanics." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11582.

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We have used a combination of theory and computation to investigate collective aspects of discrete mechanical systems. The analysis involves considerations from geometry, elasticity and hydrodynamics. We have developed continuum theories to describe these systems, in the spirit of compressing information by mathematical abstraction from the discrete description.
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Alruwaili, Khalid Mohammed M. "Continuum and combined continuum-discontinuum analysis of wellbore mechanics and stimulation response." Thesis, Heriot-Watt University, 2016. http://hdl.handle.net/10399/3195.

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Wellbore drilling and stimulation activities are interlinked processes within the task of borehole construction. Before drilling a well, the initial stress state in the rock can be defined by three principal stresses, with a typical assumption that these consist of the vertical stress (σv), the maximum horizontal stress (σH) and the minimum horizontal stress (σh). After drilling, the stress state changes around the created borehole. The fundamental engineering problem then is to calculate the stresses around the created borehole and/or at the borehole’s wall. Numerous analytical and numerical models exist to estimate the stresses around a circular hole, but these models cannot explain the observed phenomena either in the field or the lab. Attention here is focused on models that are commonly used to predict the stress state around a circular opening. These models do not account for the sequence of the physical processes, leading to an inadequate stress state estimation. This research investigates the 2D classical analytical method, along with a comparison of that approach against numerical methods. This investigation reveals that the models are not equivalent. This is not because of mathematical issues, but is due to the fact that the mechanical systems expressed by these models are not equivalent. The drilling model captures the physics of the real process which makes it possible to explain some phenomena observed in field and laboratory tests. The drilling model approach is applied for several sedimentary rock examples. The combined continuum-discontinuum method reveals its capability in calculating rock failure and deformation that is comparable to some published laboratory drilling tests. Also, the simulation results shed light into the complex fracture growth regime around the wellbore. Drilling and Hydraulic fracture simulation is carried out for Berea sandstone using both the continuum and the combined continuum-discontinuum methods. The results are in good agreement which identifies a practical engineering method for larger models. The fracturing initiates in Mode II (shear) near the circumference of the wellbore aligned with the maximum stress. At later stages, Mode I (tensile) fractures also develop and propagate the fracture parallel to the maximum horizontal stress. This fracturing mechanism continues for as long as the pressure is applied.
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Thellner, Mikael. "Multi-parameter topology optimization in continuum mechanics /." Linköping : Dept. of Mechanical Engineering, Univ, 2005. http://www.bibl.liu.se/liupubl/disp/disp2005/tek934s.pdf.

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Rahimi, Mohammad. "Hybrid Molecular Dynamics – Continuum Mechanics for Polymers." Phd thesis, TU Darmstadt, 2012. https://tuprints.ulb.tu-darmstadt.de/3292/1/Final.pdf.

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The interaction of polymers and a solid surface modifies the polymer properties near the surface (the so-called interphase) in comparison to those of the bulk polymers. A clear explanation of the origin of this modification in the polymer properties is still missing. The aim of my PhD thesis has been the study of the mechanical properties of nanocomposite materials and the analysis of the behavior of polymers in the interphase region under deformation. Coarse-grained simulations have been performed for a model system of silica nanoparticles (NPs) embedded in atactic polystyrene (PS). In this case molecular details are important only in a small spatial region of the interphase. The rest of the polymer has bulk-like behavior which can be described by continuum mechanics. Therefore, it is convenient to simulate the region of interest by molecular dynamics (MD) and to treat the rest of the nanocomposite by continuum mechanics methods. To fulfill this we developed a new hybrid molecular – continuum simulation method for polymers. In our model the center of the simulation box is treated by MD. This region is surrounded by a continuum domain which is described by a finite element approach. To the best of our knowledge, the present work is the first attempt to use simultaneously MD and FE methods in simulations of polymers. It has been the main motivation of this work to develop a new hybrid scheme for polymers. Coupling a MD to a FE method requires a lot of modifications in both the MD and FE domains. The introduction of my thesis contains a short review on the existing hybrid schemes and modifications needed to couple the two domains. Difficulties to couple them such as transferring the information between two domains and equilibrating the continuum domain are explained. Different methods and techniques to overcome these difficulties as well as the advantages and disadvantages of each method are described briefly. These methods, however, are limited to liquid and crystalline solid materials. They have to be modified to be capable of simulating polymers. In the present PhD thesis we have explained the technical difficulties to couple a MD to a FE model for polymers in the MD domain and how we tackled these problems. Modifications in the FE domain have been done by researchers in the Applied Mechanics Department of the University of Erlangen. The current work has involved a strong collaboration with them to integrate a modified MD domain into a FE domain. In the second chapter of the thesis, the mechanical properties of a pure polystyrene matrix as well as a polystyrene matrix filled with bare silica nanoparticles are investigated by MD simulations at the coarse-grained level. The stress-strain curve of polystyrene has been computed for a range of temperatures below and above the glass transition. The Young’s modulus of polystyrene obtained from the stress-strain curve has been compared to experimental and atomistic simulation data. By studying the local segmental orientation and the local structure of the polymer near the nanoparticle surface under deformation, we have found that the segments close to the silica nanoparticle surface are stiffer than those in the bulk. The thickness of the interphase has been estimated. We have shown that the Young’s modulus of the studied nanocomposite increases by increasing the volume fraction of the nanoparticle. The results of interphase studies under deformation as described in this section are important input parameters for the FE simulations in the present hybrid scheme; this will explained in chapter four. In hybrid simulations the usual periodic boundary conditions of MD cannot be used as the MD domain is surrounded by a FE domain. In hybrid schemes boundary conditions should allow an information transfer through the boundary region between two domains. Therefore, I developed new non-periodic boundary conditions, so-called stochastic boundary conditions (SBC), which are able to transfer information (forces and deformations) between the two domains and to minimize the artifacts in the dynamics. In the SBC ensemble we have defined a set of auxiliary particles, so-called anchor points, in the boundary region. The anchor points are harmonically coupled to the MD particles. They play an important role to transfer the information between the MD and FE domains. Particles in the boundary region are forced to mimic the bulk behavior by employing a stochastic dynamics in the boundary region. This minimizes the artificial influence of the anchor points and the vacuum on the polymers in the center of the box. The SBCs are explained in more detail in the third chapter. We have validated these boundary conditions by comparing the results of coarse-grained polystyrene melts under nonperiodic and regular periodic boundary conditions. Excellent agreement is found for thermodynamic, structural, and dynamic properties. The new hybrid molecular – continuum method for polymers is explained in more detail in chapter four. Due to the significant difference between the time steps in the two domains, we employed a staggered coupling procedure in which the continuum domain has been described as a static region while the MD domain has been treated dynamically. The Arlequin method has been used for the static coupling of the MD to the FE domain. The information transfer between them has been realized in a coupling region which contains the above mentioned anchor points. In this region two descriptions are valid, i.e., the particle and the continuum one. The total energy is blended by a weighting factor. Atactic PS and a PS silica nanocomposite have been simulated in a coarse-grained representation to validate the new hybrid scheme. The deviations between data from the hybrid method and pure FE simulations have been computed for quantities such as reaction forces and the Cauchy stress. The sources of the observed deviations are discussed in some detail. Finally, the fifth chapter summarizes the results obtained in this PhD work, and discusses possibilities to extend the current hybrid model to new problems such as larger deformations.
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Sakatani, Yuho. "Relativistic viscoelastic fluid mechanics and the entropic formulation of continuum mechanics." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/157762.

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Books on the topic "Continuum mechanics"

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Andrus, Koppel, and Oja Jaak, eds. Continuum mechanics. Hauppauge, NY: Nova Science Publishers, 2009.

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Romano, Antonio, and Addolorata Marasco. Continuum Mechanics. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4870-1.

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Liu, I.-Shih. Continuum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-05056-9.

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Chung, T. J. Continuum mechanics. Englewood Cliffs: Prentice-Hall, 1988.

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Lokenath, Debnath, ed. Continuum mechanics. Boston: Academic Press, 1994.

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Liu, I.-Shih. Continuum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002.

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McDonald, Patrick H. Continuum mechanics. Boston: PWS Pub. Co., 1996.

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Chandrasekharaiah, D. S. Continuum mechanics. San Diego (Calif.): Academic P., 1994.

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Irgens, Fridtjov. Continuum mechanics. Berlin: Springer, 2008.

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Béda, Gyula. Continuum mechanics. Budapest: Akadémiai Kiadó, 1995.

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Book chapters on the topic "Continuum mechanics"

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Savi, Marcelo A. "Continuum Mechanics." In Dynamics of Smart Systems and Structures, 7–40. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29982-2_2.

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Pismen, Len. "Continuum Mechanics." In The Swings of Science, 25–40. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99777-3_2.

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Eck, Christof, Harald Garcke, and Peter Knabner. "Continuum Mechanics." In Springer Undergraduate Mathematics Series, 197–302. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55161-6_5.

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Squire, Vernon A., Roger J. Hosking, Arnold D. Kerr, and Patricia J. Langhorne. "Continuum Mechanics." In Moving Loads on Ice Plates, 47–68. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-1649-4_3.

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Sharma, Ishan. "Continuum Mechanics." In Shapes and Dynamics of Granular Minor Planets, 15–49. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-40490-5_2.

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Slama, Sebastian. "Continuum Mechanics." In Experimental Physics Compact for Scientists, 59–93. Berlin, Heidelberg: Springer Berlin Heidelberg, 2023. http://dx.doi.org/10.1007/978-3-662-67895-4_3.

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Humphrey, Jay D. "Continuum Mechanics." In Cardiovascular Solid Mechanics, 68–106. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/978-0-387-21576-1_3.

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Christian Gasser, T. "Continuum Mechanics." In Vascular Biomechanics, 91–165. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70966-2_3.

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Berdichevsky, V. L. "Continuum Mechanics." In Variational Principles of Continuum Mechanics, 67–115. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-88467-5_3.

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Romano, Antonio, and Addolorata Marasco. "Nonlinear Elasticity." In Continuum Mechanics, 1–66. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4870-1_1.

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Conference papers on the topic "Continuum mechanics"

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Bouchitté, Guy, Giuseppe Buttazzo, and Pierre Suquet. "Calculus of Variations, Homogenization and Continuum Mechanics." In Workshop on Calculus of Variations, Homogenization and Continuum Mechanics. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812833136.

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BRENIER, Y. "CONTINUUM MECHANICS AND DYNAMICAL PERMUTATIONS." In Proceedings of the 11th Conference on WASCOM 2001. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777331_0014.

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GRIOLI, G. "BASIC PARAMETERS IN CONTINUUM MECHANICS." In Proceedings of the 11th Conference on WASCOM 2001. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777331_0031.

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Bertaccini, Daniele, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Symposium: Continuum Mechanics and Microstructure." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498472.

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Sladek, J., and V. Sladek. "Advanced continuum model for thermoelectric analyses." In Engineering Mechanics 2023. Institute of Thermomechanics of the Czech Academy of Sciences, Prague, 2023. http://dx.doi.org/10.21495/em2023-227.

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Saengow, Chaimongkol, and Alan Jeffrey Giacomin. "Continuum mechanics of shear stress growth." In NOVEL TRENDS IN RHEOLOGY VIII. Author(s), 2019. http://dx.doi.org/10.1063/1.5109494.

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Jain, Adesh K., and James S. Sirkis. "Continuum damage mechanics in piezoelectric ceramics." In Smart Structures & Materials '95, edited by Inderjit Chopra. SPIE, 1995. http://dx.doi.org/10.1117/12.208275.

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Melchert, Oliver, Stephanie Willms, Ihar Babushkin, Bernhard Roth, Gunter Steinmeyer, Uwe Morgner, and Ayhan Demircan. "The Continuum Mechanics of Soliton Collisions." In 2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC). IEEE, 2019. http://dx.doi.org/10.1109/cleoe-eqec.2019.8873143.

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Cheng, Harry H., and Maurice B. Dusseault. "Continuum Damage Theories and Petroleum Geomechanics." In SPE/ISRM Rock Mechanics Conference. Society of Petroleum Engineers, 2002. http://dx.doi.org/10.2118/78198-ms.

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Martynenko, Sergey, Weixing Zhou, İskender Gökalp, Pavel Toktaliev, Georgy Tarasov, and Egor Rumiantsev. "Mathematical problems of black-box computational technologies for continuum mechanics." In ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0136135.

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Reports on the topic "Continuum mechanics"

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Cohen, Donald S. Differential Equations and Continuum Mechanics. Fort Belvoir, VA: Defense Technical Information Center, May 1989. http://dx.doi.org/10.21236/ada208637.

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Borah, Bolindra N., Robert E. White, A. Kyrillidis, S. Shankarlingham, and Y. Ji. Computational Methods in Continuum Mechanics. Fort Belvoir, VA: Defense Technical Information Center, November 1993. http://dx.doi.org/10.21236/ada278144.

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Borah, Bolindra N., Robert E. White, A. Kyrillidis, S. Shankarlingham, and Y. Ji. Computational Methods in Continuum Mechanics. Fort Belvoir, VA: Defense Technical Information Center, November 1993. http://dx.doi.org/10.21236/ada275560.

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Cohen, Donald S. Differential Equations and Continuum Mechanics. Fort Belvoir, VA: Defense Technical Information Center, May 1991. http://dx.doi.org/10.21236/ada237722.

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Hrusa, William J. Some Mathematical Problems in Continuum Mechanics. Fort Belvoir, VA: Defense Technical Information Center, September 1988. http://dx.doi.org/10.21236/ada207923.

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Hrusa, William J. Some Mathematical Problems in Continuum Mechanics. Fort Belvoir, VA: Defense Technical Information Center, July 1991. http://dx.doi.org/10.21236/ada250352.

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Gurtin, Morton E. Stability and Uniqueness in Nonlinear Continuum Mechanics. Fort Belvoir, VA: Defense Technical Information Center, January 1988. http://dx.doi.org/10.21236/ada189616.

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Krajcinovic, D. Continuum damage mechanics -- Critical states. Final report. Office of Scientific and Technical Information (OSTI), February 1998. http://dx.doi.org/10.2172/584930.

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Regueiro, Richard A. Nonlinear Micromorphic Continuum Mechanics and Finite Strain Elastoplasticity. Fort Belvoir, VA: Defense Technical Information Center, November 2010. http://dx.doi.org/10.21236/ada542966.

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HAMMERAND, DANIEL C., J. TISLEY ODEN, SERGE PRUDHOMME, and MIECZYSLAW S. KUCZMA. Modeling Error and Adaptivity in Nonlinear Continuum Mechanics. Office of Scientific and Technical Information (OSTI), February 2001. http://dx.doi.org/10.2172/780285.

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