Maximum entropy fracture model and fatigue fracture of mixed SnPb/Sn3.0Ag0.5Cu solder alloys

Tucker, John Mark; Chan, D.; Subbarayan, Ganesh; Handwerker, Carol A.

doi:10.1109/itherm.2012.6231518

Cited by 5 publications

(11 citation statements)

References 19 publications

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“…However, in their fracture models Tucker et al [43][44] did not make a clear distinction between the total entropy and the entropy generation, which are two different quantities. Recently, Ontiveros et al [56] utilized entropy generation to predict time of fatigue crack initiation in notched specimens undergoing uniaxial cyclic load.…”

Section: Review Of Relevant Workmentioning

confidence: 96%

“…Entropy can be used in a fundamental way to quantify degradation, including tribological processes such as friction and wear [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. Similarly, other forms of degradation such as fretting [28] and fatigue damage of materials are consequences of irreversible processes that tend to increase the entropy generation of in the material [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. Dissipative processes can be directly linked to thermodynamic entropy, or associated thermodynamic energies, for example plasticity, dislocations [7,46], erosion-corrosion [9], wear-fracture [47,48], fretting-corrosion [49], high current density, thermal gradient, stress gradient and chemical gradient [50,51], thermal degradation, and associated failure of tribological components.…”

Section: Review Of Relevant Workmentioning

confidence: 99%

“…However, in their development of the damage model, Basaran et al treated the interchange between the total entropy, S, and the entropy generation diS/dt, unclearly and also the model was restricted to small-strain and small-displacement under isothermal conditions. In a similar fashion, Tucker et al [43][44] used the entropic concept for modeling damage and fatigue fracture initiation and growth in solder joints. A fracture model was also derived from concepts of information theory and statistical thermodynamics based on the Maximum Entropy Production Principle (MEPP).…”

Section: Review Of Relevant Workmentioning

confidence: 99%

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An Entropy-Based Damage Characterization

Amiri

Modarres

2014

Entropy

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This paper presents a scientific basis for the description of the causes of damage within an irreversible thermodynamic framework and the effects of damage as observable variables that signify degradation of structural integrity. The approach relies on the fundamentals of irreversible thermodynamics and specifically the notion of entropy generation as a measure of degradation and damage. We first review the state-of-the-art advances in entropic treatment of damage followed by a discussion on generalization of the entropic concept to damage characterization that may offers a better definition of damage metric commonly used for structural integrity assessment. In general, this approach provides the opportunity to described reliability and risk of structures in terms of fundamental science concepts. Over the years, many studies have focused on materials damage assessment by determining physics-based cause and affect relationships, the goal of this paper is to put this work in perspective and encourage future work of materials damage based on the entropy concept.

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Section: Review Of Relevant Workmentioning

confidence: 96%

Section: Review Of Relevant Workmentioning

confidence: 99%

Section: Review Of Relevant Workmentioning

confidence: 99%

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An Entropy-Based Damage Characterization

Amiri

Modarres

2014

Entropy

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“…Information entropy has been widely used in many field, such as engineering technology, economic decision-making, societal risk, etc. [9][10][11][12][13][14][15].Currently, information entropy is gradually being used in the field of welding and fatigue research. Li et al [9] combined the theory of wavelet multi-resolution analysis with the information entropy together and proposed an algorithmic method of wavelet energy entropy based on wavelet multi-resolution analysis so that the wavelet energy entropy can be used to evaluate the stability of arc in square wave alternating current submerged arc welding.…”

Section: Introductionmentioning

confidence: 99%

“…Fatigue crack prognosis problems with experimental data are presented for demonstration and validation. The maximum entropy fracture model [15] is a thermodynamically consistent and information theory inspired (non-empirical) damage accumulation theory for ductile solids, validated on both area array and peripheral array packages. Combining the authors' knowledge of the constitutive behavior with the damage accumulation behavior, fatigue life predictions can be made for a wide variety of package types and mixed metallurgical conditions.…”

Section: Introductionmentioning

confidence: 99%

Evaluation Model of Aluminum Alloy Welded Joint Low-Cycle Fatigue Data Based on Information Entropy

Liu

Zou

Sun

et al. 2017

Entropy

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An evaluation model of aluminum alloy welded joint low-cycle fatigue data based on information entropy is proposed. Through calculating and analyzing the information entropy of decision attributes, quantitative contribution of stress concentration, plate thickness, and loading mode to the fatigue destruction are researched. Results reveal that the total information entropy of the fatigue data based on nominal stress, structural stress and equivalent structural stress are, respectively, 0.9702, 0.8881, and 0.8294. There is consistency between the reducing trend of the weight-based information entropy and the smaller and smaller standard deviation of the S-N curves. In the structural stress based S-N curve, total stress concentration factor is crucial for the distribution of the fatigue data and the weight based information entropy of membrane stress concentration factor is 0.6754, which illustrates that stress concentration is a key issue of welded structure to which ought to be attached great importance. Subsequently, in the equivalent structural stress-based S-N curve, the weight based information entropy of stress ratio is 0.5759, which plays an important role in the distribution of fatigue data. With the importance level of the attributes on the S-N curves investigated, the correction of R in the equivalent structural stress based master S-N curve method should be carried out to make the welding fatigue prediction much more accurate.

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A thermodynamic entropy-based damage assessment with applications to prognostics and health management

Imanian

Modarres

2017

Structural Health Monitoring

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To advance the traditional structural integrity and life estimation approach, this article presents an explanation of damage and develops an alternative approach to damage assessment based on the fundamental laws of thermodynamics. This explanation provides a new way to perform prognostics and health management in terms of the irreversible thermodynamic framework. Specifically, it is proposed and demonstrated that entropy generated due to material degradation can be used as an index of damage. It is claimed that the use of an entropy-based damage index offers a unified and more comprehensive measure of damage. This is because energy dissipation associated with failure mechanisms that lead to material degradation involves irreversible processes, resulting in entropy generation, which is physically measurable as the materials degrade. We therefore conclude that entropy generation can be used to assess the degree of damage, the amount of the life of materials expended, and the extent of the life remaining. As an application of the proposed concept, this article discusses the entropic characterization of the corrosion-fatigue degradation mechanism, in which a standard entropy-based damage prognostics and health management approach is employed in integrity assessment and remaining useful life prediction of aluminum 7075-T651 specimens. Using entropy as a thermodynamic state function for damage characterization is shown to be effective in handling the endurance threshold uncertainties for prediction purposes.

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Maximum entropy fracture model and fatigue fracture of mixed SnPb/Sn3.0Ag0.5Cu solder alloys

Cited by 5 publications

References 19 publications

An Entropy-Based Damage Characterization

An Entropy-Based Damage Characterization

Evaluation Model of Aluminum Alloy Welded Joint Low-Cycle Fatigue Data Based on Information Entropy

A thermodynamic entropy-based damage assessment with applications to prognostics and health management

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