Analysis of Nonlinear Characteristics for Thermoelastic Half Plane with Voids

Abstract

Based on the linear theory of thermoelastic materials with voids, a nonlinear mathematical model for thermoelastic half-plane problems with voids is presented under the finite deformation. The differential quadrature method and finite difference method are applied to discrete governing equations on the spatial and temporal domain, respectively, and a set of nonlinear discretization equations is yielded and solved by Newton-Raphson method. The validity and convergence of the presented method are examined by using comparative analysis. The characteristics for half-plane problems with three kinds of thermoelastic materials with voids are analyzed to study the effect of voids and temperature.

Keywords:

• Differential quadrature method (DQM)
• Geometrical nonlinearity
• Nonlinear characteristics
• Thermoelastic half plane with voids
• Validity and convergence of method

Notes

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