In this paper a variationally consistent trigonometric shear deformation theory is presented for the free vibration of thick isotropic square and rectangular plate. In this displacement based theory, the in-plane displacement field uses sinusoidal function in terms of thickness coordinate to include the shear deformation effect. The cosine function in terms of thickness coordinate is used in tr...

This paper presents a new formulation of a well known double hardening model often referred to as the Hardening Soil model. As an alternative to the existing Hardening Soil model’s Mohr-Coulomb failure surface, the new formulation allows for the incorporation of smooth failure surfaces, such as the failure surface proposed by Matsuoka & Nakai or that proposed by Lade & Duncan. Although the inco...

Abstract The paper aims to investigate the fatigue behavior of widely used AA2024‐T351 aluminum alloy in aircraft industry. An experimental program was conducted study life and damage under symmetrical tensile‐compressive loading. Cyclic tests low cycle regime were performed fully reversed total strain amplitudes from 0.6% 1.2%. exhibited cyclic hardening until failure. Symmetric high also para...

In this paper a numerical approach of the elasto-plastic problem with mixed hardening in the plane stress state, within the classical constitutive framework of small deformation, is proposed. In the formalized problem, the non-zero normal component of the strain (namely, the component in the direction perpendicular to the plane of stress) is considered to be compatible with the plane stress. We...

• A constitutive material model is developed to nonlinear behaviour of timber. Orthotropic stress–strain relationship used in the linear elastic phase. Under compression a based on Hoffman yield criterion and plastic potential used. Isotropic strain hardening during deformation incorporated into criterion. Tensile damages all three grain directions are established using damage factors fracture ...

Abstract Modeling of roll forming process sheet metal requires efficient treatment plastic deformations thin shells and plates. We suggest a new general approach toward constructing the governing equations bending an elastic‐plastic Kirchhoff plate on structural mechanics level. The generic function isotropic hardening law is formulated in terms variables, which are meaningful for material surf...

The authors consider antiplane shearing motions of an incompressible visco-plastic solid. The particular constitutive equation employed assumes that the stress tensor has an “elastic” component and a component which can exhibit hysteresis. The model exhibits both “kinematic” and “isotropic” hardening. Our results consist of a set of energy type estimates for the resulting system, L2 contractivi...