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...lue problems can be found in terms of corresponding solutions of classical elasticity by [[operator splitting]] method. * [[Linear elasticity]] ...

...material]] model <ref name=Gent/> is a phenomenological model of [[rubber elasticity]] that is based on the concept of limiting chain extensibility. In this mo ...oi=10.1007/s10659-005-4408-x |issn=1573-2681}}</ref> for compressible Gent models). ...

...are distinct from [[hyperelastic material]] models (or standard elasticity models) in that, except under special circumstances, they cannot be derived from a ...math> ''exists''. As explained below, specific formulations of hypoelastic models typically employ a so-called [[objective stress rate]] so that the <math>G< ...

...Formulation and computational aspects|journal=Journal of the Mechanics and Physics of Solids|year=1994|issue=10|volume=42|pages=1533–1550|doi=10.1016/0022-509 The basis of pseudo-elastic material models is a hyperelastic [[Piola–Kirchhoff stress tensor|second Piola–Kirchhoff st ...

...lar Level Deformation and Classical Statistical Mechanics Models of Rubber Elasticity''', Macromolecules, 34 (3), pp 614–626, {{doi|10.1021/ma0007942}}.</ref> ...basis for the Gent constitutive model of rubber elasticity''', Journal of Elasticity, 68(1), pp. 167–176.</ref> that the [[Gent (hyperelastic model)|Gent model] ...

...under rotations, such as isotropic materials in elasticity or cosmological models in general relativity. ...here directional independence is a fundamental assumption. In cosmological models, the universe is often assumed to be isotropic on large scales, leading to ...

...Don L. Anderson |title = Preliminary reference Earth model |journal = [[Physics of the Earth and Planetary Interiors]] |year = 1981 |volume = 25 |issue = ...s ([[S-waves]]). Both have speeds that are determined by the [[Elasticity (physics)|elastic]] properties of the medium they travel through, in particular the ...

...es. It is a behaviour differing (usually very slightly) from [[Elasticity (physics)|elastic behaviour]]. == Definition and elasticity == ...

{{Short description|Physics experiment used to demonstrate elasticity}} ...It is used in physics classes as a demonstration of [[Elasticity (physics)|elasticity]]. ...

...|first3=R.W.|date=December 2013|title=Counter-intuitive results in acousto-elasticity|journal=Wave Motion|volume=50|issue=8|pages=1218–1228|doi=10.1016/j.wavemot ==Nonlinear Elasticity== ...

{{short description|Elastostatics problem in linear elasticity}} ...y#Elastostatics|elastic equilibrium]] [[Continuum mechanics#Formulation of models|configuration]] of an [[Anisotropy#Material science and engineering|anisotr ...

| journal = Journal of Physics C | journal = Journal of Physics C ...

{{Short description|Models and algorithms for simulating collision and reaction}} ...nes]] employed within [[video games]], '''collision response''' deals with models and algorithms for simulating the changes in the motion of two solid bodies ...

...eering]] depends upon a detailed knowledge of [[Structural load|loads]], [[physics]] and [[Building material|material]]s to understand and predict how structu ...gh structural elements. These forces can manifest themselves as [[Tension (physics)|tension]] (axial force), [[compression (physical)|compression]] (axial for ...

...ontrary to expectation of brittle behavior, clearly [[Elasticity (physics)|elasticity]] theory is not the last word.<ref name=par>Pariseau (1988).</ref> ...s. These relations encompass [[linear elasticity|elastic]], [[plasticity (physics)|plastic]], [[viscoelasticity|viscoelastic]], and [[viscoplasticity|viscopl ...

...based on continuum [[damage mechanics]] (CDM) and [[thermodynamics]]. Both models form a modification of the von Mises yield potential by introducing a scala ...n: one is purely mathematical in taking a statistical approach while other models attempt to provide a justification based on established physical principles ...

...s in and near the contact area. For instance to derive or validate contact models at the macroscopic scale, or to investigate [[wear]] and [[fatigue (materia ...tance for the investigation of frictional contact problems in the [[Linear elasticity|(linearly) elastic]] regime. ...

...ensor (Cauchy tensor)]] that describes internal forces in an [[Elasticity (physics)|elastic]] material due to its deformation. Both tensors map the [[surface ...xed" (unstressed) state. These stresses generally include an [[elasticity (physics)|elastic ("static") stress]] component, that is related to the current ''am ...

[[File:Physics-informed nerural networks.png|thumb|upright=3|Physics-informed neural networks for solving Navier–Stokes equations|307x307px]] ...engineering problems limit the robustness of conventional machine learning models used for these applications.<ref name=":0" /> The prior knowledge of genera ...

...ticity: Geometrical Insight, Computational Algorithms, and Topics in Shock Physics'', Shock Wave Science and Technology Reference Library: Solids I, Springer- ...x|thumb|This plot shows a typical meridional profile of several plasticity models: [[von Mises yield criterion|von Mises]], [[Drucker-Prager yield criterion| ...