On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization

1989 ◽  
Vol 72 (3) ◽  
pp. 267-304 ◽  
Author(s):  
J.C. Simo ◽  
D.D. Fox
Keyword(s):  
Shell Model ◽  
Stress Resultant ◽  
Geometrically Exact Shell

An Experimentally Derived Stress Resultant Shell Model for Heart Valve Dynamic Simulations

2006 ◽  
Vol 35 (1) ◽  
pp. 30-44 ◽  
Author(s):  
Hyunggun Kim ◽  
Krishnan B. Chandran ◽  
Michael S. Sacks ◽  
Jia Lu
Keyword(s):  
Shell Model ◽  
Heart Valve ◽  
Dynamic Simulations ◽  
Stress Resultant

Theory of Viscoplastic Shells for Dynamic Response

1983 ◽  
Vol 50 (1) ◽  
pp. 131-136 ◽  
Author(s):  
R. S. Atkatsh ◽  
M. P. Bieniek ◽  
I. S. Sandler
Keyword(s):  
Dynamic Response ◽  
Shell Model ◽  
Constitutive Equations ◽  
Structural Response ◽  
Acoustic Medium ◽  
Stress Resultant ◽  
Shell Analysis ◽  
Dynamic Loadings ◽  
Elastoplastic Shell ◽  
Dynamic Variables

A viscoplastic shell model is formulated that utilizes the shell membrane strains and curvatures as the kinematic variables and the shell stress resultants (membrane forces and moments) as the dynamic variables. The viscoplastic shell model combines the concepts of Perzyna’s viscoplastic constitutive equations with Bieniek’s shell stress resultant formulation. The model is incorporated into the Elastoplastic Shell Analysis code (EPSA) for the analysis of shells in an acoustic medium subjected to dynamic loadings that produce moderately large elastoviscoplastic deformations in the shell. An example is presented to demonstrate the effect of material rate dependence on structural response.

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