Computational shape optimisation for a gradient-enhanced continuum damage model

Guhr, Fabian; Sprave, Leon; Barthold, Franz Joseph; Menzel, Andreas

doi:10.1007/s00466-019-01810-3

Cited by 8 publications

(9 citation statements)

References 42 publications

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“…The basic idea of the model is to couple the local damage d to a global field variable ϕ to then regularise the global damage without the need to solve the underlying Karush-Kuhn Tucker conditions at global level, see eg. [2] and [3] where this is done. This allows an easy implementation in the finite-element context and is known as the micromorphic approach.…”

Section: Sensitivities For Ductile Damagementioning

confidence: 99%

Shape optimised geometries for ductile damaging materials

Guhr

Barthold

2021

Proc Appl Math & Mech

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Shape optimisation is utilised to generate damage resistant structures. By means of a variational approach, the analytical gradients for an elasto‐plastic material model with regularised damage properties are derived. Due to the complexity of the underlying material model, the application of the variational approach requires additional handling of the history field. The gradients are then used for Sequential Quadratic Programming (SQP) which is applied to shape optimisation and thus generation of damage optimised geometries.

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Section: Sensitivities For Ductile Damagementioning

confidence: 99%

Shape optimised geometries for ductile damaging materials

Guhr

Barthold

2021

Proc Appl Math & Mech

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“…The nonlinear equations (19) are solved with an iterative Newton-Raphson scheme. A Taylor series expansion at iteration step i + 1, neglecting further higher-order terms, yields…”

Section: Linearisationmentioning

confidence: 99%

“…However, this results in a cumbersome treatment of the Karush-Kuhn-Tucker conditions on global finite element level, e.g. by an active-set algorithm [34,35] or by nonlinear complementarity functions [19]. Gradient-enhanced or micromorphic theories [16,18] allow a more efficient implementation and were adopted in the field, see, e.g.…”

Section: Introductionmentioning

confidence: 99%

A large strain gradient-enhanced ductile damage model: finite element formulation, experiment and parameter identification

Sprave

Menzel

2020

Acta Mech

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A gradient-enhanced ductile damage model at finite strains is presented, and its parameters are identified so as to match the behaviour of DP800. Within the micromorphic framework, a multi-surface model coupling isotropic Lemaitre-type damage to von Mises plasticity with nonlinear isotropic hardening is developed. In analogy to the effective stress entering the yield criterion, an effective damage driving force—increasing with increasing plastic strains—entering the damage dissipation potential is proposed. After an outline of the basic model properties, the setup of the (micro)tensile experiment is discussed and the importance of including unloading for a parameter identification with a material model including damage is emphasised. Optimal parameters, based on an objective function including measured forces and the displacement field obtained from digital image correlation, are identified. The response of the proposed model is compared to a tensile experiment of a specimen with a different geometry as a first approach to validate the identified parameters.

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“…While numerical optimisation of damage is applied to academic-type problems for structural optimisation in literature, compare [4][5][6], its application within industrial-like problems is only scarcely researched. In this work a framework around the commercial software Abaqus FEA [7] is proposed, which handles the contact problems and runs the simulations, enabling numerical optimisation of forming processes.…”

Section: Introductionmentioning

confidence: 99%

Numerical optimisation of damage in extrusion processes

Guhr,

Gitschel,

Barthold

et al. 2023

Proc Appl Math and Mech

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Numerical optimisation is applied to rod extrusion in order to generate optimal parameter sets which result in reduced damage accumulation. A brief overview of academic applications for damage optimisation is given. Their restrictions are reflected upon, leading to the proposed framework utilising the commercial software Abaqus FEA, which enables optimisation of industrial problems with frictional contact. The framework is setup modularly to enable arbitrary choices of design variables, such as geometric parameters, and process parameters like friction coefficients or boundary conditions. The optimisation strategy is applied to forward hollow extrusion. Compared to forward rod extrusion, an additional design variable, that is, the mandrel radius, is introduced into the forming process, which increases the design space.

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Computational shape optimisation for a gradient-enhanced continuum damage model

Cited by 8 publications

References 42 publications

Shape optimised geometries for ductile damaging materials

Shape optimised geometries for ductile damaging materials

A large strain gradient-enhanced ductile damage model: finite element formulation, experiment and parameter identification

Numerical optimisation of damage in extrusion processes

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