Shape optimised geometries for ductile damaging materials

Guhr, Fabian; Barthold, Franz‐Joseph

doi:10.1002/pamm.202100198

Cited by 3 publications

(3 citation statements)

References 4 publications

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“…The aim of the shape optimisation is to generate shapes which are more damage resistant. For this example, taken from [4] and elaborated in more detail, is a plate with a hole problem and chosen for its inhomogeneous deformation and stress state.…”

Section: Shape Optimisationmentioning

confidence: 99%

Geometric and material sensitivities for elasto‐plasticity including non‐local damage regularisation

Guhr

Barthold

2023

Proc Appl Math and Mech

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Sensitivity analysis is applied to a regularised non-local ductile damage model. A variational approach is utilised to derive the analytical gradients of different objectives with respect to either geometrical of material parameters. Due to the definition of the material model, enhanced algorithmic treatments are necessary to capture its history dependent nature within the sensitivity computation. The gradient information with respect to the geometrical parameters are used to derive damage tolerant geometries in shape optimisation using Sequential Quadratic Programming (SQP). The sensitivities with respect to the material parameters are used to analyse the response and impact of certain material parameters of the model during loading and unloading of a specimen.

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Section: Shape Optimisationmentioning

confidence: 99%

Geometric and material sensitivities for elasto‐plasticity including non‐local damage regularisation

Guhr

Barthold

2023

Proc Appl Math and Mech

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“…The above framework is applied to air bending to generate optimised loads, as well as elastomer bending to generate an optimised layout for the elastomer cushion. The dimensions and specific parameters of the simulation can be taken from [1] and [3].…”

Section: Numerical Implementationmentioning

confidence: 99%

“…The main aspect of this work is the implementation of the optimisation framework. For a detailed explanation of the idea of load optimisation see [2] or [3].…”

Section: Numerical Implementationmentioning

confidence: 99%

Damage Optimisation for Air Bending

Guhr

Barthold

2021

Proc Appl Math and Mech

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Load and shape optimisation are applied to the process of air bending to optimise the damage state in the formed component. The enhanced process of elastomer bending is optimised, which yields a reduced damage state due to the superimposed radial stresses in the critical area of the forming process. The optimisation presented here is twofold. First, the elastomer is replaced by nodal loads to generate optimised loads for a reduced damage state. Second, the elastomer itself is optimised via shape optimisation by adjusting the layer for two kinds of elastomer of varying stiffness. The optimisation is accomplished with the commercial FEM software Abaqus as the solver for the mechanical problem and Matlab is used for optimisation.

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Variational sensitivity analysis and shape optimisation applied to a non-local, ductile damage model

Guhr,

Barthold

2023

Comput Mech

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Shape optimisation is applied to an elasto-plastic material model with non-local, regularised damage. Geometries of the same volume are generated which behave better under the aspect of damage accumulation. The underlying material model is taken from published literature and enhanced to derive the sensitivities w.r.t the initial reference geometry. A variational approach, together with an enhanced kinematic concept to decouple geometrical and physical quantities, is utilised to derive these sensitivities. With the inclusion of plastic and damaging effects, the load history of the problem has to be taken into account as well. This introduces additional terms for the sensitivity analysis and requires certain adjustments within the numerical treatment. These gradient information can finally be applied in gradient-based optimisation techniques to efficiently solve the stated optimisation problem. The two discussed examples highlight the benefit of damage optimisation. In the first example, a geometry is reshaped to directly reduce the damage accumulation under certain load. In a second example, the results of a compliance based optimisation with the ductile damage material behaviour are compared to shapes resulting from optimisation problems considering elastic and elasto-plastic material behaviour.

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Shape optimised geometries for ductile damaging materials

Cited by 3 publications

References 4 publications

Geometric and material sensitivities for elasto‐plasticity including non‐local damage regularisation

Geometric and material sensitivities for elasto‐plasticity including non‐local damage regularisation

Damage Optimisation for Air Bending

Variational sensitivity analysis and shape optimisation applied to a non-local, ductile damage model

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