journal article·2025-08-01Open access

A novel topology optimization with load path capacity constraints for minimizing the peak stress control

Jianchang Hou, Zhanpeng Jiang, Hui Lian, Junwei Fan, Zhaohua Wang, Zijian Liu, Fenghe Wu

AIP Advances· Volume 15· Issue 8

Abstract

To address the bottlenecks of traditional stress-constrained topology optimization, including stress singularities, the curse of dimensionality in computation, and high nonlinearity, this paper proposes a novel topology optimization framework based on the principle of load path equilibrium. By establishing a mechanical representation model of load path capacity S in continuum mechanics, the constitutive relationship between S and the stress tensor field is revealed, and an optimization objective function using S as a global criterion is constructed. A P-norm aggregation strategy is introduced to handle large-scale design variable constraints, and the analytical expression of sensitivity is derived. Numerical experiments on three typical stress concentration components—MBB (Messerschmitt-Bolkow-Blohm) beam, L-shaped bracket, and U-shaped structure—demonstrate the following significant advantages of the proposed method: (1) the maximum von Mises stress is reduced by 12.18%–23.69%, with stress at the inner corner of the L-shaped bracket reduced by 26.36% and convergence speed greatly improved; (2) the adaptability of the P-norm parameter is enhanced, maintaining structural symmetry and boundary smoothness within the range of P = 2–10, and the optimization results outperform traditional stress-constrained optimization. The experiments show that the load path capacity constraint effectively reduces the peak stress at key positions of the structure by optimizing the global load path, providing a parameter-robust solution for stress field structural design.
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Research context

OpenAlex topics: Topology Optimization in Engineering · Composite Structure Analysis and Optimization · Advanced Multi-Objective Optimization Algorithms

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mechanical Engineering, Yanshan University 1 , Qinhuangdao 066004,

School of Mechanical Engineering, Taiyuan University of Science and Technology 2 , Taiyuan 030024,

Engineering Training Center, Yanshan University 3 , Qinhuangdao 066004,

Funding

National Nature Science Foundation of China · Key Project of Shijiazhuang Basic Research Program · Central Guide Local Science and Technology Development Fund Project of Hebei Province

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