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Intrinsic methods in elasticity: a mathematical survey
1. | Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China |
2. | Liu Bie Ju Centre for Mathematical Sciences, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China |
3. | Laboratoire Jacques-Louis Lions & Centre National de la Recherche Scientique, Universite Pierre et Marie Curie (Paris 6), 4 Place Jussieu, 75252 Paris, France |
[1] |
Irena PawŃow, Wojciech M. Zajączkowski. Global regular solutions to three-dimensional thermo-visco-elasticity with nonlinear temperature-dependent specific heat. Communications on Pure and Applied Analysis, 2017, 16 (4) : 1331-1372. doi: 10.3934/cpaa.2017065 |
[2] |
Nicolas Van Goethem. The Frank tensor as a boundary condition in intrinsic linearized elasticity. Journal of Geometric Mechanics, 2016, 8 (4) : 391-411. doi: 10.3934/jgm.2016013 |
[3] |
Biswajit Basu. On an exact solution of a nonlinear three-dimensional model in ocean flows with equatorial undercurrent and linear variation in density. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 4783-4796. doi: 10.3934/dcds.2019195 |
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Julian Braun, Bernd Schmidt. On the passage from atomistic systems to nonlinear elasticity theory for general multi-body potentials with p-growth. Networks and Heterogeneous Media, 2013, 8 (4) : 879-912. doi: 10.3934/nhm.2013.8.879 |
[5] |
Annie Raoult. Symmetry groups in nonlinear elasticity: an exercise in vintage mathematics. Communications on Pure and Applied Analysis, 2009, 8 (1) : 435-456. doi: 10.3934/cpaa.2009.8.435 |
[6] |
Irena Lasiecka, W. Heyman. Asymptotic behavior of solutions in nonlinear dynamic elasticity. Discrete and Continuous Dynamical Systems, 1995, 1 (2) : 237-252. doi: 10.3934/dcds.1995.1.237 |
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Youri V. Egorov, Evariste Sanchez-Palencia. Remarks on certain singular perturbations with ill-posed limit in shell theory and elasticity. Discrete and Continuous Dynamical Systems, 2011, 31 (4) : 1293-1305. doi: 10.3934/dcds.2011.31.1293 |
[8] |
Teng Wang, Yi Wang. Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation. Kinetic and Related Models, 2019, 12 (3) : 637-679. doi: 10.3934/krm.2019025 |
[9] |
Xiangrong Li, Vittorio Cristini, Qing Nie, John S. Lowengrub. Nonlinear three-dimensional simulation of solid tumor growth. Discrete and Continuous Dynamical Systems - B, 2007, 7 (3) : 581-604. doi: 10.3934/dcdsb.2007.7.581 |
[10] |
Biswajit Basu. On the nonlinear three-dimensional models in equatorial ocean flows. Communications on Pure and Applied Analysis, 2022, 21 (7) : 2271-2290. doi: 10.3934/cpaa.2022085 |
[11] |
Lorena Bociu, Steven Derochers, Daniel Toundykov. Linearized hydro-elasticity: A numerical study. Evolution Equations and Control Theory, 2016, 5 (4) : 533-559. doi: 10.3934/eect.2016018 |
[12] |
Lorena Bociu, Jean-Paul Zolésio. Existence for the linearization of a steady state fluid/nonlinear elasticity interaction. Conference Publications, 2011, 2011 (Special) : 184-197. doi: 10.3934/proc.2011.2011.184 |
[13] |
Daniele Boffi, Franco Brezzi, Michel Fortin. Reduced symmetry elements in linear elasticity. Communications on Pure and Applied Analysis, 2009, 8 (1) : 95-121. doi: 10.3934/cpaa.2009.8.95 |
[14] |
Samuel Amstutz, Nicolas Van Goethem. Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity. Discrete and Continuous Dynamical Systems - B, 2020, 25 (10) : 3769-3805. doi: 10.3934/dcdsb.2020240 |
[15] |
Magdalena Nockowska-Rosiak, Piotr Hachuła, Ewa Schmeidel. Existence of uncountably many asymptotically constant solutions to discrete nonlinear three-dimensional system with $p$-Laplacian. Discrete and Continuous Dynamical Systems - B, 2018, 23 (1) : 369-375. doi: 10.3934/dcdsb.2018025 |
[16] |
Cornel Marius Murea, Dan Tiba. Topological optimization and minimal compliance in linear elasticity. Evolution Equations and Control Theory, 2020, 9 (4) : 1115-1131. doi: 10.3934/eect.2020043 |
[17] |
Bernd Schmidt. On the derivation of linear elasticity from atomistic models. Networks and Heterogeneous Media, 2009, 4 (4) : 789-812. doi: 10.3934/nhm.2009.4.789 |
[18] |
Victoriano Carmona, Emilio Freire, Soledad Fernández-García. Periodic orbits and invariant cones in three-dimensional piecewise linear systems. Discrete and Continuous Dynamical Systems, 2015, 35 (1) : 59-72. doi: 10.3934/dcds.2015.35.59 |
[19] |
Rita Ferreira, Elvira Zappale. Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity. Communications on Pure and Applied Analysis, 2020, 19 (3) : 1747-1793. doi: 10.3934/cpaa.2020072 |
[20] |
Shalela Mohd--Mahali, Song Wang, Xia Lou, Sungging Pintowantoro. Numerical methods for estimating effective diffusion coefficients of three-dimensional drug delivery systems. Numerical Algebra, Control and Optimization, 2012, 2 (2) : 377-393. doi: 10.3934/naco.2012.2.377 |
2020 Impact Factor: 1.392
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