Transverse-Isotropic Elastic and Viscoelastic Solids

2004 ◽  
Vol 126 (1) ◽  
pp. 38-44 ◽  
Author(s):  
Alan D. Freed
Keyword(s):  
Finite Strain ◽  
Constitutive Theory ◽  
Simple Shearing ◽  
Viscoelastic Solids ◽  
Strain Fields ◽  
Isotropic Materials ◽  
Transverse Isotropic ◽  
Produce Strain

A set of invariants are presented for transverse-isotropic materials whose gradients produce strain fields, instead of deformation fields as is typically the case. Finite-strain theories for elastic and K-BKZ-type viscoelastic solids are derived. Shear-free and simple shearing deformations are employed to illustrate the constitutive theory.

A Nonlinear Elastic Model for Isotropic Materials With Different Behavior in Tension and Compression

1982 ◽  
Vol 104 (1) ◽  
pp. 26-28 ◽  
Author(s):  
Gianluca Medri
Keyword(s):  
Mechanical Characterization ◽  
Three Dimensional ◽  
Small Deformation ◽  
Stress And Strain ◽  
Elastic Model ◽  
Strain Fields ◽  
Isotropic Materials ◽  
Tension And Compression ◽  
Nonlinear Elastic

This note presents a model suitable for the mechanical characterization of isotropic materials with different behavior in tension and compression. The model has been derived from the nonlinear elastic theory and elaborated to adapt it to the small deformation field; the constitutive relation may reliably correlate stress and strain fields even in three-dimensional elastic problems.

scholarly journals Identification of the Stress Fields from the Strain Fields in the Isotropic Materials

2012 ◽  
Vol 48 ◽  
pp. 665-672 ◽  
Author(s):  
Michaela Štamborská ◽  
František Šimčák ◽  
Matùš Kalina ◽  
Martin Schrötter
Keyword(s):  
Stress Fields ◽  
Strain Fields ◽  
Isotropic Materials

Mechanical Deformation Modeling of Diamond/Gaas Structures

1996 ◽  
Vol 445 ◽  
Author(s):  
Nickolaos Strifas ◽  
Aris Christou
Keyword(s):  
Finite Strain ◽  
Volume Fraction ◽  
Mechanical Deformation ◽  
Interfacial Shear ◽  
Stress And Strain ◽  
Uniform Temperature ◽  
Element Analysis ◽  
Strain Fields ◽  
Elastic Plastic ◽  
Plastic Analysis

AbstractIn this study a finite strain elastic-plastic finite element analysis is performed on diamond/GaAs structures. A series of models based upon the principal of superposition are proposed to investigate the mechanical deformation and thermal stress behavior of the diamond/gas structure due to coefficients of thermal expansions (CTE) mismatches. The interfacial shear and peeling stresses in multilayered stacks subjected to uniform temperature variation are studied. Finite strain elastic – plastic analysis is performed on a crack which lies on the interface between the diamond and gas materials. The ductile fracture from the tip of the interface crack, the stress and strain fields and distribution of microvoid volume fraction are analyzed.

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