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On the passage from atomistic systems to nonlinear elasticity theory
nonlinear elasticity theory Analysis of PDEs
2011/9/16
Abstract: We derive continuum limits of atomistic models in the realm of nonlinear elasticity theory rigorously as the interatomic distances tend to zero. In particular we obtain an integral functiona...
General solutions of a class of axisymmetric deformation problems based on nonlinear elasticity
partial differential equation general solution
2010/9/21
This paper studies the general solutions of a system of partial differential equations, which can describe the finite deformation of an incompressible hyperelastic cylindrical tube composed of the kno...
A nonlinear elasticity problem governed by Lame system
nonlinear elasticity problem governed Lame system
2010/9/25
In this work we study a nonlinear problem equation governed by the system of Lam´e, is similar example was the partial differential equations,which operates in relativistic quantum mechanics sys...
Manifestation of nonlinear elasticity in rock:convincing evidence over large frequency and strain intervals from laboratory studies
nonlinear elasticity in rock large frequency strain intervals laboratory studies
2009/11/16
Nonlinear elastic response in rock is established as a robust and representative characteristic rock rather than a curiosity. We show measurements of this behaviour from a variety of experiments on ro...