Constitutive modeling of isotropic hyperelastic materials using proposed phenomenological models in terms of strain invariants

2015 ◽  
Vol 56 (3) ◽  
pp. 299-308 ◽  
Author(s):  
Marzieh Bahreman ◽  
Hossein Darijani ◽  
Majid Fooladi
Keyword(s):  
Phenomenological Models ◽  
Constitutive Modeling ◽  
Hyperelastic Materials ◽  
Strain Invariants

Unified constitutive modeling of anisotropic hyperelastic materials at large strains

2003 ◽  
Vol 105 ◽  
pp. 289-296
Author(s):  
M. Itskov ◽  
N. Aksel
Keyword(s):  
Constitutive Modeling ◽  
Large Strains ◽  
Hyperelastic Materials

scholarly journals Continuum Constitutive Modeling for Isotropic Hyperelastic Materials

2016 ◽  
Vol 06 (09) ◽  
pp. 571-582 ◽  
Author(s):  
Fuzhang Zhao
Keyword(s):  
Constitutive Modeling ◽  
Hyperelastic Materials

Constitutive modeling of porous hyperelastic materials

2004 ◽  
Vol 36 (4) ◽  
pp. 347-358 ◽  
Author(s):  
M Danielsson ◽  
D.M Parks ◽  
M.C Boyce
Keyword(s):  
Constitutive Modeling ◽  
Hyperelastic Materials

Multiaxial constitutive modeling of aircraft engine materials

1996 ◽  
Vol 23 (2-4) ◽  
pp. 319-332
Author(s):  
K Z.
Keyword(s):  
Constitutive Modeling ◽  
Aircraft Engine

Remarks on nonlinear elastic waves with null conditions

2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Elastic Waves ◽  
Wave Equations ◽  
Alternative Proof ◽  
Classical Solutions ◽  
Small Initial Data ◽  
Hyperelastic Materials ◽  
Variational Structure ◽  
Nonlinear Elastic

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.

PHENOMENOLOGICAL MODELS OF MULTIPLE PRODUCTION

1973 ◽  
Vol 34 (C1) ◽  
pp. C1-341-C1-345
Author(s):  
A. BASSETTO
Keyword(s):  
Phenomenological Models ◽  
Multiple Production

Constitutive Modeling for Hot Isostatic Pressing of Metal Powders

2006 ◽  
Vol 9 (1) ◽  
pp. 15-34 ◽  
Author(s):  
Gholamreza Aryanpour
Keyword(s):  
Constitutive Modeling ◽  
Hot Isostatic Pressing ◽  
Metal Powders ◽  
Isostatic Pressing

An Alternative Technique to Evaluate Crack Propagation Path in Hyperelastic Materials

2012 ◽  
Vol 40 (1) ◽  
pp. 42-58 ◽  
Author(s):  
R. R. M. Ozelo ◽  
P. Sollero ◽  
A. L. A. Costa
Keyword(s):  
Constitutive Model ◽  
Crack Propagation ◽  
Experimental Tests ◽  
Growth Direction ◽  
Propagation Path ◽  
J Integral ◽  
Alternative Technique ◽  
Crack Propagation Path ◽  
Hyperelastic Materials ◽  
Material Constitutive Model

Abstract REFERENCE: R. R. M. Ozelo, P. Sollero, and A. L. A. Costa, “An Alternative Technique to Evaluate Crack Propagation Path in Hyperelastic Materials,” Tire Science and Technology, TSTCA, Vol. 40, No. 1, January–March 2012, pp. 42–58. ABSTRACT: The analysis of crack propagation in tires aims to provide safety and reliable life prediction. Tire materials are usually nonlinear and present a hyperelastic behavior. Therefore, the use of nonlinear fracture mechanics theory and a hyperelastic material constitutive model are necessary. The material constitutive model used in this work is the Mooney–Rivlin. There are many techniques available to evaluate the crack propagation path in linear elastic materials and estimate the growth direction. However, most of these techniques are not applicable to hyperelastic materials. This paper presents an alternative technique for modeling crack propagation in hyperelastic materials, based in the J-Integral, to evaluate the crack path. The J-Integral is an energy-based parameter and is applicable to nonlinear materials. The technique was applied using abaqus software and compared to experimental tests.

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