Computational modelling of thermal impact welded PEEK/steel single lap tensile specimens

Utzinger, Johannes; Bos, Martin; Floeck, Martin; Menzel, Andreas; Kuhl, Ellen; Renz, Rainer; Friedrich, K.; Schlarb, Alois K.; Steinmann, Paul

doi:10.1016/j.commatsci.2007.04.015

Cited by 18 publications

(19 citation statements)

References 14 publications

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“…The formulations of these interface element are well-established and for instance are described in References [23,30,34,35]. Assigned to each macro integration point of each interface element, the corresponding RVE is discretized with a finite element mesh in h 0 .…”

Section: Nested Solution Proceduresmentioning

confidence: 99%

“…Within a geometrically nonlinear finite-element framework, we straightforwardly model the material layer by means of cohesive interface elements situated between the adjacent bulk finite elements. With these elements, the finite-element formulation which can be found in References [1,18,23,29,30,34,35,37], the constitutive relation consists by a cohesive traction-separation law, which has traditionally been treated by a priori assumptions, as they were proposed by Xu and Needleman [27,38]. Instead of using such constitutive assumption, we obtain the material response from computational homogenization.…”

Section: Introductionmentioning

confidence: 99%

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Computational multiscale modelling of heterogeneous material layers

Hirschberger

Ricker

Steinmann

et al. 2009

Engineering Fracture Mechanics

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A computational homogenization procedure for a material layer that possesses an underlying heterogeneous microstructure is introduced within the framework of finite deformations. The macroscopic material properties of the material layer are obtained from multiscale considerations. At the macro level, the layer is resolved as a cohesive interface situated within a continuum, and its underlying microstructure along the interface is treated as a continuous representative volume element of given height. The scales are linked via homogenization with customized hybrid boundary conditions on this representative volume element, which account for the deformation modes along the interface. A nested numerical solution scheme is adopted to link the macro and micro scales. Numerical examples successfully display the capability of the proposed approach to solve macroscopic boundary value problems with an evaluation of the constitutive properties of the material layer based on its micro-constitution.

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Section: Nested Solution Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Computational multiscale modelling of heterogeneous material layers

Hirschberger

Ricker

Steinmann

et al. 2009

Engineering Fracture Mechanics

View full text Add to dashboard Cite

show abstract

“…For further information on interface elements, see, e.g., [11,12]. Because of decreasing interfacial stiffnesses due to continued cycling (which is induced by appropriate displacement boundary conditions), stresses and norms of electric field components both decrease.…”

Section: Resultsmentioning

confidence: 99%

Investigation of microcracks in ferroelectric materials by application of a grain‐boundary‐motivated cohesive law

Utzinger

Menzel

Steinmann³

2007

Proc Appl Math and Mech

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Ferroelectric materials exhibit a huge potential for engineering applications -ranging from electrical actuators (inverse piezoelectric effect) to sensor technology (direct piezoelectric effect). To give an example, lead zirconate titanate (PZT) is a typical perovskite ion crystal possessing ferroelectric properties. In this contribution, we are particularly interested in the modelling of microcracking effects in ferroelectric materials.In view of Finite-Element-based simulations, the geometry of a natural grain structure, as observed on the so-called micro-level, is represented by an appropriate mesh. While the response on the grains themselves is approximated by coupled continuum elements, grain boundaries are numerically incorporated via so-called cohesive-type elements. For the sake of simplicity, switching effects in the bulk material will be neglected. The behaviour of the grain boundaries is modelled by means of cohesive-type laws. Identifying grain boundaries as potential failure zones leading to microcracking, cohesive-type elements consequently offer a great potential for numerical simulations. As an advantage, in the case of failure they do not a priori result in ill-conditioned systems of equations as compared with the application of standard continuum elements to localised deformations. Finally, representative constitutive relations for both the bulk material and the grain boundaries, enable two-dimensional studies of low-cycle-fatigue motivated benchmark boundary value problems.

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“…When placing emphasis on related computational simulation approaches, such as the finite element method, bad-conditioned stiffness matrices would usually follow from a direct discretisation of these interfacial layers by means of standard continuum elements. To overcome these numerical difficulties, cohesive-type constitutive relations can be combined with so-called interface elements [28,31]. For the simulation of grain boundaries in ceramics, respectively inelastic polycrystals, an irreversible cohesive relation has been incorporated into an interfacial finite element context in [9,4].…”

Section: Introductionmentioning

confidence: 99%

Computational modelling of microcracking effects in polycrystalline piezoelectric ceramics

2008

Self Cite

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MSC (2000) 82D45, 74R20, 74M25Piezoelectric ceramics nowadays are widely commercialised in various fields of engineering technology and related constitutive modelling approaches constitute an active field of research. The physical performance of these materials is often limited by fatigue effects, possibly in combination with micro-cracking phenomena. In this contribution, such micro-crackbased fatigue effects in ferroelectric materials are computationally investigated by applying a cohesive-type approach embedded into a finite element context. The geometry or rather discretisation of a representative specimen elaborated in this work refers to a natural grain structure on the meso-level. Accordingly, the overall response of the underlying grains is approximated by means of coupled continuum elements, while the grain boundaries are discretised with interface elements. Interfacial constitutive relations are chosen to reflect highcycle-fatigue, which finally is demonstrated by a fatigue-motivated benchmark-type boundary value problem.

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Computational modelling of thermal impact welded PEEK/steel single lap tensile specimens

Cited by 18 publications

References 14 publications

Computational multiscale modelling of heterogeneous material layers

Computational multiscale modelling of heterogeneous material layers

Investigation of microcracks in ferroelectric materials by application of a grain‐boundary‐motivated cohesive law

Computational modelling of microcracking effects in polycrystalline piezoelectric ceramics

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