A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis

Russ, Jonathan B.; Waisman, Haim

doi:10.1016/j.cma.2020.113478

Cited by 33 publications

(20 citation statements)

References 79 publications

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“…As an alternative, one could also use a PDE filter, 24 which is based on a partial differential equation similar to (9).…”

Section: Design Parameterizationmentioning

confidence: 99%

“…Maute et al 8 combined topology optimization with nonlinear elastoplastic material models, to better exploit the potential of elastoplastic materials. Russ and Waisman 9 suggested an elastoplastic topology optimization method to increase the failure resistance of structures with a fixed volume, by using local ductile failure constraints and linear buckling analysis. Strain-softening materials lose stiffness when strain reaches a certain threshold, and can be used to model damage processes such as microcracking in quasi-brittle materials.…”

Section: Introductionmentioning

confidence: 99%

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Topology optimization of damage‐resistant structures with a predefined load‐bearing capacity

Barbier

Shakour

Sigmund

et al. 2021

Numerical Meth Engineering

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This article presents a novel strategy for structural topology optimization considering damage. In engineering practice, structures are typically designed to have a certain load-bearing capacity, with a minimal material volume or cost. We aim to optimize the topology of a structure to have a minimal weight while guaranteeing a predefined load capacity, considering the softening behavior of quasi-brittle materials. Two different optimization strategies are presented: a fully nonlinear strategy and a simplified strategy. The fully nonlinear strategy relies on existing nonlinear damage models, which require iterative solution methods, for structural analysis and the computation of the corresponding sensitivities. The simplified strategy uses a simplified damage model, which computes a structure's damage distribution in only one step, greatly reducing computation time. The accuracy of the simplified damage model is controlled by occasional nonlinear simulations-without sensitivity analysis-to calibrate the results. Benchmark tests compare the simplified optimization strategy with the fully nonlinear optimization strategy. While the simplified damage model does not have the same accuracy as nonlinear damage models, results show similar optimized topologies and structural efficiency, with a significant improvement regarding computation time for the simplified optimization strategy.

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“…As an alternative, one could also use a PDE filter, 24 which is based on a partial differential equation similar to (9).…”

Section: Design Parameterizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topology optimization of damage‐resistant structures with a predefined load‐bearing capacity

Barbier

Shakour

Sigmund

et al. 2021

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…In [18,19], Li et al investigated TO methods involving stored energy while constraining the elastoplastic-damage. More recently, Russ and Waisman [20] proposed a method for the structural resistance of both ductile failure and buckling in a new aggregated optimization objective with local ductile failure constraints. Liu et al [21] investigated multi-material fracture resistance TO including cohesive models.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization for enhanced dynamic fracture resistance of structures

Yvonnet

et al. 2022

Computer Methods in Applied Mechanics and Engineering

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“…In a recent study, Li and Khandelwal 17 investigated elastoplastic energy‐absorbing designs with controlled damage with a micromechanics‐based Gurson–Tvergaard–Needleman porous plasticity model. Studies have also exploited uncoupled damage models, for example, the Johnson–Cook failure criterion and CrachFEM fracture model for damage‐proof designs 18–20 . Irrespective of these advancements, all the previous works on the fracture‐resistant topology optimization are confined to the small strain regime.…”

Section: Introductionmentioning

confidence: 99%

“…Studies have also exploited uncoupled damage models, for example, the Johnson-Cook failure criterion and Crach-FEM fracture model for damage-proof designs. [18][19][20] Irrespective of these advancements, all the previous works on the fracture-resistant topology optimization are confined to the small strain regime. However, fracture initiation for many ductile metals (e.g., structural grade steels ASTM A997, A36), is often preceded by large (plastic) deformation, and the small strain assumption might not be applicable.…”

Section: Introductionmentioning

confidence: 99%

Gurson–Tvergaard–Needleman model guided fracture‐resistant structural designs under finite deformations

Zhang

Khandelwal

2022

Numerical Meth Engineering

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A finite strain shear modified Gurson–Tvergaard–Needleman (GTN) model based on multiplicative elastoplasticity, together with its implementation details, is presented. This GTN model which can simulate the loss of load‐carrying capacity of porous metals through nucleation, growth, shearing, and coalescence of voids is incorporated in an optimization framework for designing structures with optimal plastic energy dissipation capacity while satisfying prescribed constraints on material usage and damage. An adjoint method‐based analytical path‐dependent sensitivity analysis is presented that can be used with gradient‐based optimization algorithms. Using the proposed topology optimization formulations, the optimized designs exhibit well‐constrained fracture at the design displacements. Ultimate performance analyses of the optimized designs demonstrate that the fracture‐resistant designs can have higher ductility, ultimate strength as well as improved energy dissipation, as compared to the designs guided by von Mises plasticity where no fracture mechanisms are modeled. Moreover, due to finite deformations, a fracture can initiate at multiple locations and critical fracture locations can change during the loading process. In addition, different failure modes are revealed from different optimized designs under large deformations.

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A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis

Cited by 33 publications

References 79 publications

Topology optimization of damage‐resistant structures with a predefined load‐bearing capacity

Topology optimization of damage‐resistant structures with a predefined load‐bearing capacity

Topology optimization for enhanced dynamic fracture resistance of structures

Gurson–Tvergaard–Needleman model guided fracture‐resistant structural designs under finite deformations

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