Branching of strain histories for nonlinear viscoelastic solids with a strain clock

Nonlinear Strain Theory of Plastic Flow in Solids

We present a phenomenological time-dependent Ginzburg-Landau theory of nonlinear plastic deformations in solids. Because the problem is very complex, we first give purely elastic models in one and two dimensions, where large strains produce densely distributed slips but the mass density deviations remain small except near the tips of slips. Next we set up a two-dimensional model including an or...

A New Technique based on Strain Energy for Correction of Stress-strain Curve

Tensile stress-strain curve is of high importance in mechanics of materials particularly in numerical simulations of material deformations. The curve is usually obtained by experiment but is limited by necking phenomenon. Engineering stress-strain curve is converted to true stress-strain curve through simple formulas. The conversion, however, is correct up the point of necking. From this point ...

Large Strain Viscoelastic Model for Balloon Film

This paper presents a constitutive model capable of predicting the anisotropic viscoelastic behavior of balloon film subject to large strains and cyclic loading. The model is based on the free volume theory of nonlinear viscoelasticity enhanced with a switching rule for treating loading and unloading differently. The model has been implemented in the finite element analysis program Abaqus/Stand...

Comparison of Some Nonlinear Functions for Describing Broiler Growth Curves of Cobb500 Strain

This study was conducted to compare some nonlinear functions to describe the broiler growth curve of the Cobb500 strain. A flock of fifty one-day-old chicks were randomly selected from a henhouse of 2500 chicks. Our goal was to establish a growth curve using weighting data using mathematical solutions of time-dependent differential functions. In total, six equations were subjected to a statisti...

On Rate Principles for Finite Strain Analysis of Elastic and Inelastic Nonlinear Solids