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Engineering optimization (Print), 2021
The solid isotropic microstructure with penalization (SIMP) model is widely used in structural topology optimization. When the optimality criterion (OC) method is used for solving the SIMP model, the optimization solution process not only has relatively ...
Mingtao Cui +4 more
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The solid isotropic microstructure with penalization (SIMP) model is widely used in structural topology optimization. When the optimality criterion (OC) method is used for solving the SIMP model, the optimization solution process not only has relatively ...
Mingtao Cui +4 more
semanticscholar +1 more source
Structural Topology Optimization Through Explicit Boundary Evolution
Journal of Applied Mechanics, Transactions ASME, 2017Weisheng Zhang, Xu Guo
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Structural Topology Optimization with Eigenvalues
SIAM Journal on Optimization, 2008The paper considers different problem formulations of topology optimization of discrete or discretized structures with eigenvalues as constraints or as objective functions. We study multiple-load case formulations of minimum volume or weight, minimum compliance problems, and the problem of maximizing the minimal eigenvalue of the structure, including ...
Wolfgang Achtziger, Michal Kocvara
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Adaptive Topology Optimization of Shell Structures
AIAA Journal, 1996Summary: To solve generalized shape optimization problems, material topology optimization is applied to determine the basic layout, i.e., to insert and eliminate holes in the design space. In addition, the inner and outer contours are optimized in detail by shape optimization.
Maute, Kurt, Ramm, Ekkehard
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Topology Optimization of Structures With Geometrical Nonlinearities
Volume 2: 26th Design Automation Conference, 2000Abstract In this paper, the stiffness optimization problem is investigated for structures with geometrical nonlinearities. The mean compliance of the structure is chosen as the objective function and its sensitivities are derived using the adjoint method. The optimal problem is formulated using a microstructure-based design domain method
Hae Chang Gea, Jianhui Luo
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Topology optimization of nonlinear structures
Finite Elements in Analysis and Design, 2004In this paper, topology optimization of both geometrically and materially nonlinear structure is studied using a general displacement functional as the objective function. In order to consider large deformation, effective stress and strain are expressed in terms of 2nd Piolar-Kirchhoff stress tensor and Green-Lagrange strain tensor, and constitutive ...
Daeyoon Jung, Hae Chang Gea
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Multi-material structural topology optimization considering material interfacial stress constraints
Computer Methods in Applied Mechanics and Engineering, 2020For multi-material structures, ensuring material interface strength is particularly vital for their integrity and durability. In the present study, we incorporate material interfacial stress constraints into topology optimization of bi-material ...
Pai Liu, Litao Shi, Z. Kang
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On CAD-integrated structural topology and design optimization
Computer Methods in Applied Mechanics and Engineering, 1991Concepts underlying an interactive CAD-based engineering design optimization system are developed, and methods of optimizing the topology, shape and sizing of mechanical components are presented. These methods are integrated in the system, and the method for determining the optimal topology is used as a preprocessor for subsequent shape or sizing ...
Olhoff, Niels +2 more
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Topology optimization of structures using ant colony optimization
Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation, 2009A modified ACO algorithm that derives from specific definition of pheromone and cooperation mechanism between ants was applied for solving topology optimization problem of structure. Mesh topology of finite element model for structure was treated as possible paths for ant's movement.
Chun-Yin Wu +2 more
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