The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies

1987 ◽  
Vol 18 (2) ◽  
pp. 131-164 ◽  
Author(s):  
Stuart S. Antman ◽  
Pablo V. Negr�n-Marrero
Keyword(s):  
Equilibrium States ◽  
Symmetric Equilibrium ◽  
Elastic Bodies ◽  
Nonlinearly Elastic

The Quasilinear Wave Equation for Antiplane Shearing of Nonlinearly Elastic Bodies

2001 ◽  
Vol 171 (1) ◽  
pp. 201-226 ◽  
Author(s):  
Dawn A. Lott ◽  
Stuart S. Antman ◽  
William G. Szymczak
Keyword(s):  
Wave Equation ◽  
Quasilinear Wave Equation ◽  
Elastic Bodies ◽  
Nonlinearly Elastic

Large shearing oscillations of incompressible nonlinearly elastic bodies

1984 ◽  
Vol 14 (3) ◽  
pp. 249-262 ◽  
Author(s):  
Stuart S. Antman ◽  
Guo Zhong-Heng
Keyword(s):  
Elastic Bodies ◽  
Nonlinearly Elastic

Contact between nonlinearly elastic bodies

2006 ◽  
Vol 136 (6) ◽  
pp. 1239-1266 ◽  
Author(s):  
Daniel Habeck ◽  
Friedemann Schuricht
Keyword(s):  
Variational Methods ◽  
Lagrange Equation ◽  
Existence Results ◽  
Necessary Condition ◽  
Generalized Gradients ◽  
Mechanical Problem ◽  
Elastic Bodies ◽  
Essential Tool ◽  
Nonlinearly Elastic

We study the contact between nonlinearly elastic bodies by variational methods. After the formulation of the mechanical problem, we provide existence results based on polyconvexity and on quasiconvexity. We then derive the Euler—Lagrange equation as a necessary condition for minimizers. Here Clarke's generalized gradients are an essential tool for treating the nonsmooth obstacle condi

Sign in / Sign up

Export Citation Format

Share Document