Generating optimal topologies in structural design using a homogenization method
Computer Methods in Applied Mechanics and Engineering
Topology optimization of nonlinear structures
Finite Elements in Analysis and Design
Compliance optimization of a continuum with bimodulus material under multiple load cases
Computer-Aided Design
A topology optimization procedure for reinforced concrete structures
Computers and Structures
Robust topology optimisation of bi-modulus structures
Computer-Aided Design
Structural and Multidisciplinary Optimization
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In order to solve elasticity problems with dual extension/compression modulus this paper presents a technique that employ Heaviside function to describe the nonlinear relationship of stress and material modulus smoothing the constitutive discontinuity. An initial stress technique is utilized in the FEM based numerical analysis, which may lead to a higher computing efficiency since the stiffness matrix needs to be triangularized only once in the whole computing, moreover, avoid the inconvenience induced by choosing shear modulus in the conventional iterative algorithm. Furthermore, a multimaterial model is proposed to formulate the topology optimization problem for bridge layout designs. Two types of materials which are concrete and steels are distributed within the design domain to accommodate design need. In addition, sensitivity of the new material model is derived using the adjoint method. The effectiveness of the present design methodology and optimization scheme is then demonstrated through numerical examples.