Aug 2026· Structural And Multidisciplinary Optimization· Vol 69· 0 citations· 36 references
Abstract
We present a topology optimization framework for anisotropic elastoplastic structures based on a new deformation plasticity formulation derived directly from Hill’s yield criterion. Conventional incremental elastoplastic approaches in topology optimization, while accurate, are computationally demanding due to their path-dependent nature and the need to store internal variables over multiple load steps. The proposed Hill-based deformation plasticity formulation enables single-step loading and direct computation of the final equilibrium state, thereby eliminating path dependence and substantially reducing computational cost and memory requirements. The formulation is embedded within a density-based topology optimization framework with stiffness maximization as the design objective. Numerical examples demonstrate the effectiveness of the proposed approach, validate the proportional loading assumption, and illustrate its applicability to realistic structural design problems. The results establish the Hill-based deformation plasticity formulation as a computationally efficient and robust alternative to conventional incremental elastoplastic methods.
Engineering materials frequently exhibit considerable disparities between their tensile and compressive moduli. However, there are some difficulties in existing topology optimization methods for material structures with large disparities between their tensile and compressive moduli. To address this issue, a parallel‐co...
Jian-Hua Rong, Chenchen Cao, Chenyu Rong et al.· International Journal for Nu...· 0 citations
Topology optimization (TO) can be applied to continuum structures to generate efficient designs accounting for performance measures, such as compliance. However, the resulting solutions are often sensitive to the occurrence of local damage, which can be modeled by removing a group of elements from the optimized configu...
Gabriel Queiroz, Edson Denner Leonel· MATEC Web of Conferences· 0 citations
The basic unit of snapping mechanical metamaterials is typically a bistable unit. This study proposes a systematic inverse design framework based on topology optimization for designing snapping structures with specific force‐displacement response curves. Such problems involve large deformations and complex deformation...
Chong-Qing Wu, Li Ma· International Journal for Nu...· 0 citations
This work presents the development and implementation of a second-order optimization algorithm based on a relaxed Newton method for the minimization of nonlinear scalar objective functions with multiple design variables. The proposed strategy combines a modified Newton scheme with a customized backtracking formulation,...
A. Gallo, Enrico Armentani, M. Ferraiuolo et al.· Frattura ed Integrità Strutt...· 0 citations
We present a numerical method for eigenfrequency optimization in two-dimensional and three-dimensional linearized elasticity, based on necessary optimality conditions where the optimal stiffness tensor saturates the upper Hashin–Shtrikman bound. The approach, grounded in the homogenization method, exploits recently der...
K. Burazin, Ivana Crnjac· Mathematics and mechanics of...· 0 citations
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