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A thermo‐mechanical energetic cohesive zone model accounting for Kapitza interfaces
Author(s) -
Esmaeili Ali,
Javili Ali,
Steinmann Paul
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610207
Subject(s) - classification of discontinuities , interface model , dissipation , cohesive zone model , mechanics , interface (matter) , jump , elasticity (physics) , constitutive equation , materials science , physics , thermodynamics , mathematics , computer science , mathematical analysis , finite element method , composite material , quantum mechanics , maximum bubble pressure method , bubble , human–computer interaction
The objective of this contribution is to study computational aspects of modeling thermo‐mechanical solids containing mechanically energetic, geometrically non‐coherent Kapitza interfaces under cyclic loading. The interface is termed energetic in the sense that it possesses its own energy, entropy, constitutive relations and dissipation. To date, classical thermo‐mechanical cohesive zone models do not account for elastic interfaces. Therefore we propose a novel interface model that couples the classical cohesive zone formulation to the interface elasticity theory under the Kapitza assumption within a thermo‐mechanical framework. In other words, such an interface model allows for discontinuities in geometry, temperature and normal stress fields, while not permitting a jump in the normal heat flux across the interface. The equations governing a fully non‐linear transient problem are given. In particular, a comparison is made between the results of the classical thermo‐mechanical cohesive zone model and our novel (cohesive + energetic Kapitza) interface formulation. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)