Application of the equal dissipation rate principle to automatic generation of strut-and-tie models - Mathematics Optimization and ControlReport as inadecuate




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Abstract: This work presents an extended formulation of maximal stiffness design,within the framework of the topology optimization. The mathematical formulationof the optimization problem is based on the postulated principle of equaldissipation rate during inelastic deformation. This principle leads to theenforcement of stress constraints in domains where inelastic deformation wouldoccur. During the transition from the continuous structure to the truss-likeone strut-and-tie model the dissipation rate is kept constant using theprojected gradient method. The equal dissipation rate in the resulting trussand in the original continuous structure can be regarded as an equivalencestatement and suggests an alternative understanding of physical motivationbehind the strut-and-tie modeling. The performance of the proposed formulationis demonstrated with the help of two examples.



Author: Balthasar Novak, Sergey Ananiev

Source: https://arxiv.org/







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