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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Towards the stabilization of the low density elements in topology optimization with large deformation

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Author(s):
Lahuerta, Ricardo Doll [1] ; Simoes, Eduardo T. [2] ; Campello, Eduardo M. B. [2] ; Pimenta, Paulo M. [2] ; Silva, Emilio C. N. [1]
Total Authors: 5
Affiliation:
[1] Univ Sao Paulo, Polytech Sch, Dept Mechatron & Mech Syst Engn, BR-05424970 Sao Paulo - Brazil
[2] Univ Sao Paulo, Polytech Sch, Dept Struct & Geotech Engn, BR-05424970 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMPUTATIONAL MECHANICS; v. 52, n. 4, p. 779-797, OCT 2013.
Web of Science Citations: 16
Abstract

This work addresses the treatment of lower density regions of structures undergoing large deformations during the design process by the topology optimization method (TOM) based on the finite element method. During the design process the nonlinear elastic behavior of the structure is based on exact kinematics. The material model applied in the TOM is based on the solid isotropic microstructure with penalization approach. No void elements are deleted and all internal forces of the nodes surrounding the void elements are considered during the nonlinear equilibrium solution. The distribution of design variables is solved through the method of moving asymptotes, in which the sensitivity of the objective function is obtained directly. In addition, a continuation function and a nonlinear projection function are invoked to obtain a checkerboard free and mesh independent design. 2D examples with both plane strain and plane stress conditions hypothesis are presented and compared. The problem of instability is overcome by adopting a polyconvex constitutive model in conjunction with a suggested relaxation function to stabilize the excessive distorted elements. The exact tangent stiffness matrix is used. The optimal topology results are compared to the results obtained by using the classical Saint Venant-Kirchhoff constitutive law, and strong differences are found. (AU)

FAPESP's process: 11/02387-4 - Innovative piezocomposite devices for nanopositioning and energy harvesting
Grantee:Emílio Carlos Nelli Silva
Support Opportunities: Regular Research Grants