Topology optimization of finite strain viscoplastic systems under transient loads [Dynamic topology optimization based on finite strain visco-plasticity]

Ivarsson, Niklas; Wallin, Mathias; Tortorelli, Daniel

doi:10.1002/nme.5789

Title: Topology optimization of finite strain viscoplastic systems under transient loads [Dynamic topology optimization based on finite strain visco-plasticity]

Journal Article · Thu Feb 08 00:00:00 EST 2018 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.5789· OSTI ID:1432978

^[1]; Wallin, Mathias ^[1]; Tortorelli, Daniel ^[2]

Lund Univ. (Sweden). Division of Solid Mechanics
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Center for Design and Optimization

In this paper, a transient finite strain viscoplastic model is implemented in a gradient-based topology optimization framework to design impact mitigating structures. The model's kinematics relies on the multiplicative split of the deformation gradient, and the constitutive response is based on isotropic hardening viscoplasticity. To solve the mechanical balance laws, the implicit Newmark-beta method is used together with a total Lagrangian finite element formulation. The optimization problem is regularized using a partial differential equation filter and solved using the method of moving asymptotes. Sensitivities required to solve the optimization problem are derived using the adjoint method. To demonstrate the capability of the algorithm, several protective systems are designed, in which the absorbed viscoplastic energy is maximized. Finally, the numerical examples demonstrate that transient finite strain viscoplastic effects can successfully be combined with topology optimization.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE; Swedish Research Council (SRC)

Grant/Contract Number:: AC52-07NA27344; 2015-05134

OSTI ID:: 1432978

Report Number(s):: LLNL-JRNL-739019

Journal Information:: International Journal for Numerical Methods in Engineering, Vol. 114, Issue 13; ISSN 0029-5981

Publisher:: WileyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 28 works

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Adjoint sensitivity analysis and optimization of transient problems using the mixed Lagrangian formalism as a time integration scheme Lavan, Oren Structural and Multidisciplinary Optimization, Vol. 61, Issue 2 https://doi.org/10.1007/s00158-019-02383-8	journal	September 2019
Computational shape optimisation for a gradient-enhanced continuum damage model Guhr, Fabian; Sprave, Leon; Barthold, Franz-Joseph Computational Mechanics, Vol. 65, Issue 4 https://doi.org/10.1007/s00466-019-01810-3	journal	January 2020
Computational shape optimisation for a gradient-enhanced continuum damage model Guhr, Fabian; Sprave, Leon; Barthold, Franz-Joseph TU Dortmund https://doi.org/10.17877/de290r-22145	text	January 2020
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42 ENGINEERING
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