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An Irreversible Thermodynamics Theory for Damage Mechanics of Solids

TLDR
In this article, a thermodynamic framework has been presented for damage mechanics of solid materials, where entropy production is used as the sole measure of damage evolution in the system, and predictions are compared with experimental results, which indicates that entropy production can be used as a damage evolution metric.
Abstract
The entropy production is a non-negative quantity based on irreversible thermodynamics and thus serves as a basis for the systematic description of the irreversible processes occurring in a solid. In this paper, a thermodynamic framework has been presented for damage mechanics of solid materials, where entropy production is used as the sole measure of damage evolution in the system. As a result, there is no need for physically meaningless empirical parameters to define a phenomenological damage potential surface or a Weibull function to trace damage evolution in solid continuum. In order to validate the model, predictions are compared with experimental results, which indicates that entropy production can be used as a damage evolution metric. The theory is founded on the basic premise that a solid continuum obeys the first and the second laws of thermodynamics.

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Journal ArticleDOI

On the thermodynamic entropy of fatigue fracture

TL;DR: In this paper, the thermodynamic entropy of metals undergoing repeated cyclic load reaching the point of fracture is assumed to be a constant, independent of geometry, load and frequency, and the necessary and sufficient condition for the final fracture of a metal undergoing fatigue load corresponds to a constant irreversible entropy gain.
Journal ArticleDOI

A thermodynamic model for electrical current induced damage

TL;DR: In this paper, the authors proposed a model for electromigration process and a damage evolution model to quantify the degradation in microelectronics (and micro electromechanical system) solder joints subjected to high current densities.
Journal ArticleDOI

Study on a Novel Fault Damage Degree Identification Method Using High-Order Differential Mathematical Morphology Gradient Spectrum Entropy

TL;DR: The HMGSEDI method is an effective quantitative fault damage degree identification method, and provides a new way to identify faultDamage degree and fault prediction of rotating machinery.
Journal ArticleDOI

Damage mechanics of electromigration induced failure

TL;DR: In this paper, a new damage mechanics formulation is implemented in a general finite element procedure and used for simulation of solder joints electromigration induced failure, where nonlinear viscoplastic time-dependent nature of the material and current crowding effects are taken into account in the formulation.
Journal ArticleDOI

An Experimental Approach to Evaluate the Critical Damage

TL;DR: In this paper, an experimental study has been carried out to determine the critical damage parameter based on the concept of entropy flow, which is either a cumulative process that progresses toward a maximum tolerable damage, or is an irreversible progression of cyclic plastic strain energy that reaches its critical value at the onset of fracture.
References
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Book

Introduction to the mechanics of a continuous medium

TL;DR: In this article, the authors propose a linearized theory of elasticity for tensors, which they call Linearized Theory of Elasticity (LTHE), which is based on tensors and elasticity.
Book

Mechanics of Solid Materials

TL;DR: In this article, the physical mechanisms of deformation and fracture are discussed, including linear elasticity, thermo-elasticity, and viscoelastic properties of real solids.
Book

A Course on Damage Mechanics

Jean Lemaitre
TL;DR: In this article, the authors present a detailed analysis of the physical properties of the solid state and damage, including elasticity, deformation, shrinkage, and elasticity of the material.
Book

Introduction to continuum damage mechanics

TL;DR: In this article, a model for Ductile Fracture under Uniaxial Stress and Fracture Under MultiaxiaXial Stress is presented. But the model does not consider the effect of fatigue on the model.
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