Optimal Design of Functionally Graded Materials Under Thermomechanical Loadings

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Alizadeh, Saeed | 2013

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 45228 (07)
University: Sharif University of Technology
Department: Materials Science and Engineering
Advisor(s): Tavakoli, Rohollah
Abstract:
A numerical algorithm for the optimal design of two components functionally graded materials under thermomechanical loadings is introduced in the present study. It is based on the topology optimization method. The objective function, to be minimized, is defined as the weighted combination of the thermal and mechanical compliance of structure. The design variables are defined as the local volume fractions of contributing phases. The set of constraints includes bound constraints on local volume fractions and a global constraint on the total volume fraction of the matrix phase. The corresponding heat and elasticity equations are solved by the finite element method. The local material properties are computed based on the SIMP approach. The optimization problem is solved by the projected steepest descent algorithm. The derivative of the objective functional is computed based on the adjoint method. The feasibility of the presented algorithm is demonstrated through several numerical experiments
Keywords:
Finite Element Method ; Functionally Graded Materials (FGM) ; Topology Optimization ; Thermoelastic Loading ; Sensitivity Analysis ; Solid Isotropic Material with Penalization

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