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dell’Erba, D.N.; Aliabadi, M.H.; Rooke, D.P.

doi:10.1023/a:1007572726097

Cited by 36 publications

(2 citation statements)

References 12 publications

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“…The integrity of the aggregate is retrieved through suitable generalized intergranular conditions. Several scholars have addressed different aspects of the thermo-elastic analysis of solids by boundary integral methods [52,53,54,55,56,57,58,59].…”

Section: Boundary Integral Formulation For Thermo-elastic Analysis Of...mentioning

confidence: 99%

An integral framework for computational thermo-elastic homogenization of polycrystalline materials

Benedetti

2023

Computer Methods in Applied Mechanics and Engineering

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Section: Boundary Integral Formulation For Thermo-elastic Analysis Of...mentioning

confidence: 99%

An integral framework for computational thermo-elastic homogenization of polycrystalline materials

Benedetti

2023

Computer Methods in Applied Mechanics and Engineering

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“…Expressions (2.10) and (2.11) have been extensively used in the literature in order to develop numerical boundary elements methods for studying both static and dynamic crack problems in elastic materials subject to thermal stresses [11][12][13]28]. In most of these approaches, starting from equations (2.10) and (2.11), integral expressions for the physical displacements, stresses and temperature u (1) , σ (1) and θ (1) , respectively, are derived as functions of the test quantities u (2) , σ (2) and θ (2) , which in general are assumed to be fundamental solutions of the evolution equations or weight functions [9,10].…”

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confidence: 99%

Boundary integral formulation for interfacial cracks in thermodiffusive bimaterials

Morini,

Piccolroaz

2015

Proc. R. Soc. A.

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An original boundary integral formulation is proposed for the problem of a semi-infinite crack at the interface between two dissimilar elastic materials in the presence of heat flows and mass diffusion. Symmetric and skew-symmetric weight function matrices are used together with a generalized Betti's reciprocity theorem in order to derive a system of integral equations that relate the applied loading, the temperature and mass concentration fields, the heat and mass fluxes on the fracture surfaces and the resulting crack opening. The obtained integral identities can have many relevant applications, such as for the modelling of crack and damage processes at the interface between different components in electrochemical energy devices characterized by multi-layered structures (solid oxide fuel cells and lithium ions batteries).

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The extended finite element method in thermoelastic fracture mechanics

Duflot

2007

Numerical Meth Engineering

194

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SUMMARYThe extended finite element method (XFEM) is applied to the simulation of thermally stressed, cracked solids. Both thermal and mechanical fields are enriched in the XFEM way in order to represent discontinuous temperature, heat flux, displacement, and traction across the crack surface, as well as singular heat flux and stress at the crack front. Consequently, the cracked thermomechanical problem may be solved on a mesh that is independent of the crack. Either adiabatic or isothermal condition is considered on the crack surface. In the second case, the temperature field is enriched such that it is continuous across the crack but with a discontinuous derivative and the temperature is enforced to the prescribed value by a penalty method. The stress intensity factors are extracted from the XFEM solution by an interaction integral in domain form with no crack face integration. The method is illustrated on several numerical examples (including a curvilinear crack, a propagating crack, and a three-dimensional crack) and is compared with existing solutions.

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Untitled

Cited by 36 publications

References 12 publications

An integral framework for computational thermo-elastic homogenization of polycrystalline materials

An integral framework for computational thermo-elastic homogenization of polycrystalline materials

Boundary integral formulation for interfacial cracks in thermodiffusive bimaterials

The extended finite element method in thermoelastic fracture mechanics

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