Equilibrium Solutions in Finite Elasticity

1983 ◽  
Vol 50 (4b) ◽  
pp. 1171-1180 ◽  
Author(s):  
R. T. Shield
Keyword(s):  
Strain Energy ◽  
Finite Elasticity ◽  
Approximate Solutions ◽  
Equilibrium Solutions ◽  
Energy Functions ◽  
Elastic Bodies ◽  
Elastic Systems ◽  
The Stability ◽  
Strain Energy Functions

Some areas in the theory of large deformations of elastic bodies are surveyed. Strain energy functions for isotropic materials are discussed, with emphasis on rubberlike materials, and exact and approximate solutions for equilibrium states are described. The applicability of the energy method for the determination of the stability of elastic systems is reviewed and applications are cited.

Strain energy functions for filled elastomers

1965 ◽  
Vol 9 (7) ◽  
pp. 2565-2579 ◽  
Author(s):  
M. Shinozuka ◽  
A. M. Freudenthal
Keyword(s):  
Strain Energy ◽  
Energy Functions ◽  
Filled Elastomers ◽  
Strain Energy Functions

On the Development of Volumetric Strain Energy Functions

1999 ◽  
Vol 67 (1) ◽  
pp. 17-21 ◽  
Author(s):  
S. Doll ◽  
K. Schweizerhof
Keyword(s):  
Strain Energy ◽  
Volumetric Strain ◽  
Strain Energy Function ◽  
Material Behavior ◽  
Additional Material ◽  
Energy Functions ◽  
Material Parameters ◽  
Physical Conditions ◽  
Starting Point ◽  
Strain Energy Functions

To describe elastic material behavior the starting point is the isochoric-volumetric decoupling of the strain energy function. The volumetric part is the central subject of this contribution. First, some volumetric functions given in the literature are discussed with respect to physical conditions, then three new volumetric functions are developed which fulfill all imposed conditions. One proposed function which contains two material parameters in addition to the compressibility parameter is treated in detail. Some parameter fits are carried out on the basis of well-known volumetric strain energy functions and experimental data. A generalization of the proposed function permits an unlimited number of additional material parameters.  Dedicated to Professor Franz Ziegler on the occasion of his 60th birthday. [S0021-8936(00)00901-6]

Sign in / Sign up

Export Citation Format

Share Document