Transmission Conditions for Thin Elasto-Plastic Pressure-Dependent Interphases

Mishuris, Gennady; Öchsner, Andreas

doi:10.1007/978-3-642-40945-5_4

Cited by 4 publications

(8 citation statements)

References 20 publications

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“…Taking into account (66) and the Hooke's law (1), we obtain the leading terms of the strain tensor invariants [16]:…”

Section: Plane Strain Formulation Of Transmission Conditionsmentioning

confidence: 99%

“…the yield condition is not incorporated into the generalized constitutive parameters. On the other hand, the model proposed in [16] applies only to a few specific loading paths. To overcome these limitations, the classical Hencky deformation theory is generalized in Section 3 to the case of pressure-sensitive materials by including the dependence of inelastic deformation on the first stress invariant, in the spirit suggested by Chen [17] and Lubarda [18].…”

Section: Introductionmentioning

confidence: 99%

“…where the matrix-function A is explicitly defined by A( u ) = A(λ(J ε 1 , J e 2 ),μ(J ε 1 , J e 2 )) and the relationships (16) and (17).…”

Section: Introductionmentioning

confidence: 99%

“…The interphase material is described by a novel formulation of the deformation theory for pressure-dependent media. Early models of pressuredependent deformation theory can be found in [15] and [16]. However, the model proposed by [15] only accounts for elastic and plastic branches separately, i.e.…”

Section: Introductionmentioning

confidence: 99%

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General transmission conditions for thin elasto-plastic pressure-dependent interphase between dissimilar materials

Sonato

Mishuris

2015

International Journal of Solids and Structures

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We consider a thin soft adhesive interphase between dissimilar elastic media. The material of the intermediate layer is modelled by elasto-plastic pressure-sensitive constitutive law. An asymptotic procedure, together with a novel formulation of the deformation theory of plasticity for pressure-sensitive materials, is used in order to derive nonlinear transmission conditions for the corresponding imperfect zero-thickness interface. A FEM analysis of the original threephase structure is performed to validate the transmission conditions for the simplified bimaterial structure.

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“…Taking into account (66) and the Hooke's law (1), we obtain the leading terms of the strain tensor invariants [16]:…”

Section: Plane Strain Formulation Of Transmission Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…where the matrix-function A is explicitly defined by A( u ) = A(λ(J ε 1 , J e 2 ),μ(J ε 1 , J e 2 )) and the relationships (16) and (17).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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General transmission conditions for thin elasto-plastic pressure-dependent interphase between dissimilar materials

Sonato

Mishuris

2015

International Journal of Solids and Structures

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“…All the aforementioned examples dealt with linear interphases of different physical natures. This method can also be effectively applied in the case of elastoplastic thin interphases [15,17]. Here, the transformation to the respective imperfect interface models is far less trivial and requires several assumptions, as well as evaluation dependent on the yield condition [4,12,25].…”

Section: Introductionmentioning

confidence: 99%

Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics

Andreeva

Zagnetko

2016

Journal of the European Ceramic Society

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a b s t r a c tThis paper considers the problem of heat transfer in a composite ceramic material where the structural elements are bonded to the matrix via a thin heat resistant adhesive layer. The layer has the form of a circular ring or close to it. Using an asymptotic approach, the interphase is modelled by an infinitesimal imperfect interface, preserving the main features of the temperature fields around the interphase, and allowing a significant simplification where FEM analysis is concerned. The nonlinear transmission conditions that accompany such an imperfect interface are evaluated, and their accuracy is verified by means of dedicated analytical examples as well as carefully designed FEM simulations. The interphases of various geometries are analysed, with an emphasis on the influence of the curvature of their boundaries on the accuracy of the evaluated conditions. Numerical results demonstrate the benefits of the approach and its limitations.

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Strain Localization and Shear Band Propagation in Ductile Materials

et al. 2015

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A model of a shear band as a zero-thickness non-linear interface is proposed and tested using finite element simulations. An imperfection approach is used in this model where a shear band that is assumed to lie in a ductile matrix material (obeying von Mises plasticity with linear hardening), is present from the beginning of loading and is considered to be a zone in which yielding occurs before the rest of the matrix. This approach is contrasted with a perturbative approach, developed for a J 2 -deformation theory material, in which the shear band is modeled to emerge at a certain stage of a uniform deformation. Both approaches concur in showing that the shear bands (differently from cracks) propagate rectilinearly under shear loading and that a strong stress concentration should be expected to be present at the tip of the shear band, two key features in the understanding of failure mechanisms of ductile materials.

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Transmission Conditions for Thin Elasto-Plastic Pressure-Dependent Interphases

Cited by 4 publications

References 20 publications

General transmission conditions for thin elasto-plastic pressure-dependent interphase between dissimilar materials

General transmission conditions for thin elasto-plastic pressure-dependent interphase between dissimilar materials

Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics

Strain Localization and Shear Band Propagation in Ductile Materials

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