Thermo-Elastoviscoplastic Buckling Behavior of Plates

1994 ◽  
Vol 61 (1) ◽  
pp. 169-175 ◽  
Author(s):  
G. J. Simitses ◽  
Y. Song
Keyword(s):  
Finite Element ◽  
Constitutive Equations ◽  
Material Models ◽  
Inelastic Buckling ◽  
Finite Element Approach ◽  
Numerical Examples ◽  
Initial Imperfections ◽  
Rate Dependent ◽  
Buckling Behavior ◽  
Element Approach

The thermo-elastoviscoplastic buckling behavior of plates is investigated. The analysis is based on nonlinear kinematic relations and nonlinear rate-dependent unified constitutive equations which include both Bodner-Partom’s and Walker’s material models. A finite element approach is employed to predict the inelastic buckling behavior. Numerical examples are given to demonstrate the effects of several parameters, which include temperature, small initial imperfections, and the thickness of the plate. Comparisons of buckling responses for the two models, Bodner-Partom’s and Walker’s, are also presented.

Research on WALKER Constitutive Model Tangent Modulus

2012 ◽  
Vol 249-250 ◽  
pp. 113-117
Author(s):  
Yan Chen ◽  
Qing Wu Wang ◽  
Quan Shan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Constitutive Model ◽  
Constitutive Equations ◽  
Tangent Modulus ◽  
Finite Element Code ◽  
Numerical Examples ◽  
Rate Dependent ◽  
Backward Euler ◽  
Elasto Plasticity

In elasto-plasticity computation on materials by sub-increase finite element method, in general, it is necessary to calculate the consistent tangent modulus of elements. In this paper, based on the backward Euler integration, for an unified viscoplasticity constitutive equations, a new expression of consistent tangent modulus is derived for rate-dependent plasticity. The constitutive equations and consistent tangent modulus expression are implemented into a commercial finite element code-MARC. Numerical examples are given to verify the finite element implementation.This template explains and demonstrates how to prepare your camera-ready paper for Trans Tech Publications. The best is to read these instructions and follow the outline of this text.

A Finite Element Approach for Nonhomogeneous Nonlocal Elastic Problems

2008 ◽  
Author(s):  
Aurora Pisano ◽  
Alba Sofi ◽  
Paolo Fuschi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlocal Elasticity ◽  
Elastic Moduli ◽  
Strain Difference ◽  
Relevant Literature ◽  
Stiffness Tensor ◽  
Finite Element Approach ◽  
Numerical Examples ◽  
Element Approach

The paper deals with the implementation of a method, known in the relevant literature as Nonlocal Finite Element Method, for solving 2D boundary value problems in the context of nonhomogeneous nonlocal elasticity. The method, founded on a consistent thermodynamic formulation, is here improved making use of a phenomenological strain-difference-based nonhomogeneous nonlocal elasticity model. The latter assumes a two components local/nonlocal constitutive relation in which the stress is conceived as the sum of two contributions governed by the standard elastic moduli tensor and by a nonlocal stiffness tensor, respectively. Two numerical examples are presented and the obtained results are discussed both to verify the reliability of the method and to show its potential and limits for the analysis of nonhomogeneous nonlocal elastic problems.

A Finite Element Approach to the Transient Dynamics of Rolling Tires with Emphasis on Rolling Noise Simulation4

2007 ◽  
Vol 35 (3) ◽  
pp. 165-182 ◽  
Author(s):  
Maik Brinkmeier ◽  
Udo Nackenhorst ◽  
Heiner Volk
Keyword(s):  
Finite Element ◽  
Traffic Noise ◽  
Complex Eigenvalue ◽  
Arbitrary Lagrangian Eulerian ◽  
Finite Element Approach ◽  
Road Systems ◽  
Element Approach ◽  
Road Surface Roughness ◽  
Complex Eigenvalue Analysis ◽  
Rolling Noise

Abstract The sound radiating from rolling tires is the most important source of traffic noise in urban regions. In this contribution a detailed finite element approach for the dynamics of tire/road systems is presented with emphasis on rolling noise prediction. The analysis is split into sequential steps, namely, the nonlinear analysis of the stationary rolling problem within an arbitrary Lagrangian Eulerian framework, and a subsequent analysis of the transient dynamic response due to the excitation caused by road surface roughness. Here, a modal superposition approach is employed using complex eigenvalue analysis. Finally, the sound radiation analysis of the rolling tire/road system is performed.

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