Large‐scale elasto‐plastic topology optimization

Granlund, Gunnar (author): Lund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH

Wallin, Mathias (author): Lund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH

(creator_code:org_t)


English.
In: International Journal for Numerical Methods in Engineering. - 1097-0207.

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Abstract Subject headings

This work presents large-scale elasto-plastic topology optimization for design of structures with maximized energy absorption and tailored mechanical response. The implementation uses parallel computations to address multi million element three-dimensional problems. Design updates are generated using the gradient-based method of moving asymptotes and the material is modeled using small strain, nonlinear isotropic hardening wherein the coaxiality between the plastic strain rate and stress is exploited. This formulation renders an efficient state solve and we demonstrate that the adjoint sensitivity scheme resembles that of the state update. Furthermore, the KKT condition is enforced directly into the path dependent adjoint sensitivity analysis which eliminates the need of monitoring the elasto-plastic switches when calculating the gradients and provides a straight forward framework for elasto-plastic topology optimization. Numerical examples show that structures discretized using several millions degrees of freedom and loaded in multiple load steps can be designed within a reasonable time frame.

About the subject

ENGINEERING AND TECHNOLOGY: ENGINEERING AND ...; and Mechanical Engin ...; and Applied Mechanic ...

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