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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...
Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity
Linearized constitutive equations Mooney-Rivlin material Relative descriptional formulation Existence and uniqueness
2011/9/6
Abstract: For calculating large deformations in finite elasticity, we have proposed a method of successive linear approximation, by considering the relative descriptional formulation. In this article ...