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论文类型：期刊论文

发表时间：2017-05-01

发表刊物：JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

收录刊物：SCIE、EI

卷号：102

页面范围：277-293

ISSN号：0022-5096

关键字：Thin membrane; Wrinkle; Topology optimization; Principal stress criterion; Stress relaxation

摘要：Thin membrane structures would experience wrinkling due to local buckling deformation when compressive stresses are induced in some regions. Using the stress criterion for membranes in wrinkled and taut states, this paper proposed a new stress-based topology optimization methodology to seek the optimal wrinkle-free design of macro-scale thin membrane structures under stretching. Based on the continuum model and linearly elastic assumption in the taut state, the optimization problem is defined as to maximize the structural stiffness under membrane area and principal stress constraints. In order to make the problem computationally tractable, the stress constraints are reformulated into equivalent ones and relaxed by a cosine-type relaxation scheme. The reformulated optimization problem is solved by a standard gradient-based algorithm with the adjoint-variable sensitivity analysis. Several examples with post-bulking simulations and experimental tests are given to demonstrate the effectiveness of the proposed optimization model for eliminating stress-related wrinkles in the novel design of thin membrane structures. (C) 2017 Elsevier Ltd. All rights reserved.