Abstract The description of the cyclic mobility observed prior to liquefaction in geomaterials requires sophisticated constitutive formulation describe plastic deformation induced during loading with small stress amplitude inside yield surface. This requirement is realized subloading surface model , which enclosing a purely elastic domain not assumed, while assumed other elastoplasticity models...

It is well known that size effects are present in plasticity with the observation that smaller being the stronger. This effect is attributed to the presence of geometrically necessary dislocations (GNDs). The hardening associated to GNDs can be separated in two groups: energetic and dissipative. The fi rst is associated with defect energy and different defi nitions for it are possible. In all c...

In this acticle a semi-smooth Newton method for frictional two-body contact problems and a solution algorithm for the resulting sequence of linear systems is presented. It is based on a mixed variational formulation of the problem and a discretization by finite elements of higher-order. General friction laws depending on the normal stresses and elasto-plastic material behaviour with linear isot...

Generalized I lyushin ' s deviatoric stress and s t ra in spaces are introduced, which make it possible to apply directly the postulate of isotropy to initially isotropic materials with plastic properties influenced by the third deviatorie stress invariant and to a certain class of initially anisotropie materials. The generalizations proposed are connected with a new concept of description of p...

An elastoviscoplastic three-dimensional model is proposed in order to predict the response of brake discs for a High Speed Train (T.G.V.), which are subjected simultaneously to mechanical and thermal loadings. This elastoviscoplastic law is based on the internal thermodynamic variables and takes into account the non-linear kinematic and isotropic hardening with plastic strain memory effect. A m...

Abstract In this work the finite element (FE) implementation of small strain cyclic plasticity is discussed. The family elastoplastic constitutive models considered which uses mixed, kinematic-isotropic hardening rule. It assumed that kinematic governed by Armstrong–Frederick law. radial return mapping algorithm utilized to discretize general form equation. A relation for consistent tangent ope...

A bi-isotropic magneto-electric metamaterials is modeled by two independent reservoirs. The reservoirs contain a continuum of three dimensional harmonic oscillators, which describe polarizability and magnetizability of the medium. The paper aimed to investigate the effect of electromagnetic field on bi-isotropic. Starting with a total Lagrangian and using Euler-Lagrange equation, researcher cou...

Density functional approach was used to study the isotropic- nematic (I-N) transition and calculate the values of freezing parameters of the Gay- Berne liquid crystal model. New direct and pair correlation functions of a molecular fluid with Gay- Berne pair potential were used. These new functions were used in density functional theory as input to calculate the isotropic- nematic transition den...

We analyze the stability of homogeneous simple tensile/compressive deformations of an isotropic heat-conducting thermoviscoplastic bar by studying the growth of infinitesimal perturbations superimposed upon a homogeneous deformation. The smallest axial strain at which the superimposed perturbation has a positive initial growth rate is called the instability strain. Two criteria are used to dete...