A new convolution variational boundary element technique for design sensitivity analysis and topology optimization of anisotropic thermo-poroelastic structures

Abstract

The main objective of this paper is to propose a new efficient time domain boundary element technique for design sensitivity analysis and topology optimization of anisotropic thermo-poroelastic structures. The spatial regularization scheme based on integration by parts is performed in Laplace domain in conjunction with time-domain convolution variational boundary element method (CVBEM). The generating optimization problem is solved using the Moving Asymptotes Method (MAM) with the adjoint variable method to obtain optimal material distribution, influence of anisotropy on the thermo-poroelastic stresses sensitivities. The results from the numerical model demonstrate the validity, efficiency and accuracy of the proposed technique.

Range of Applying the Boundary Condition at Fluid/Porous Interface and Evaluation of Beavers and Joseph’s Slip Coefficient Using Finite Element Method

“…This study shows that the obtained boundary condition using the Finite Element Method is true at a specified thickness values of the transition zone for both Fometal and Aloxite materials. Furthermore, this methodology is applicable to a wide range of transport phenomena in engineering problems [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] and of transport phenomena in biological problems [33][34][35]. Finally, an expression of α is obtained and the numerical results on both the permeability and the thickness of the transition zone.…”

A Novel BEM for Modeling and Simulation of 3T Nonlinear Generalized Anisotropic Micropolar-Thermoelasticity Theory withMemory Dependent Derivative

“…In the BEM, only the boundary of the computational domain needs to be discretized, so, it has a major advantage over domain methods which requires the whole computational domain discretization such as the finite difference method (FDM) [37][38][39] and finite element method (FEM) [40][41][42]. This advantage of BEM over domain methods has significant importance for modeling of nonlinear generalized thermoelastic problems which can be implemented using BEM with little cost and less input data [43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. Through this paper, we would like to guide the reader to this important paper of Cheng et al [58] which narrates BEM history in a wonderful and interesting way.…”

A New Boundary Element Formulation for Modeling and Optimization of Three-Temperature Nonlinear Generalized Magneto-Thermoelastic Problems of FGA Composite Microstructures

“…The main aim of this chapter is to propose a novel boundary element formulation for modeling and optimization of three-temperature nonlinear generalized thermoelastic problems of functionally graded anisotropic (FGA) composite microstructures. The proposed boundary element technique has been implemented successfully for solving several engineering, scientific and industrial applications due to its simplicity, efficiency, ease of use, and applicability [72][73][74][75][76][77][78][79][80][81][82][83][84][85]. The numerical results are presented graphically to show the influence of anisotropy and functionally graded materials on the sensitivities of displacements and thermal stresses.…”