Zhang, Y., Wang, X., Wang, X., & Mang, H. A. (2022). Virtual Displacement Based Discontinuity Layout Optimization. International Journal for Numerical Methods in Engineering, 123(22), 5682–5694. https://doi.org/10.1002/nme.7084
Discontinuity layout optimization (DLO) is a relatively new upper bound limit analysis method. Compared to classic topology optimization methods, aimed at obtaining the optimum design of a structure by considering its self-weight, building cost, or bearing capacity, DLO optimizes the failure pattern of the structure under specific loading conditions and constraints by minimizing the dissipation energy. In this work, we present a modified DLO algorithm that contains all of the advantages of DLO. It is referred to virtual displacement-based discontinuity layout optimization (VDLO). VDLO takes the stress state of a loaded structure as a snapshot and correspondingly provides the optimum failure pattern, which greatly extends the application potential of DLO. Numerical examples indicate the effectiveness and flexibility of VDLO. It is regarded as a highly promising supplemental tool for other numerical methods in element-/node-based frameworks.
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Project (external):
National Natural Science Foundation of Cina
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Project ID:
Grant/Award Number: 52178324
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Research Areas:
Modeling and Simulation: 50% Computational Materials Science: 50%