This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy suppressing spurious modes related to low-density elements is proposed. The depends on constructing pseudo-mass matrix that assigns small pseudo masses DOFs surrounded only and degenerates an identity solid regi...

There are some materials in nature that experience deformations not elastic. Viscoelastic of them. We come across many such our daily lives through a number interesting applications engineering, material science and medicine. This article concerns itself with modelling the nonlinear response class viscoelastic solids. In particular, viscoelasticity strain rate type, which can be described by co...

2.02.4.1 Finite-strain Effects in Bulky or Massive Bodies 71 2.02.4.2 Nonlinear Finite-strain Effects in Columns, Plates and Shells Soft in Shear 72 2.02.4.3 Discrepancy between Engesser’s and Haringx’s Formulas: New Paradox and its Resolution 73 2.02.4.4 Shear Stiffness Associated with Second-order Strain 74 2.02.4.5 Differential Equations of Equilibrium Associated with Different Finite-strain...

In the classical approach to elasticity problems, the components of the displacement field are the primary unknowns. In an “intrinsic” approach, new unknowns with more physical or geometrical meanings, such as a strain tensor field or a rotation field for instance, are instead taken as the primary unknowns. We survey here recent progress about the mathematical analysis of such methods applied t...

The paper reviews the modeling of damage by the microplane model and presents extensions required for cyclic loading. The general microplane constitutive model is implemented in a three-dimensional finite element code and used in damage and bifurcation analysis of various structures. The results of the analysis are compared with test results and some of the comparisons are shown in the present ...