Unified Mechanics Theory

[1]  Leonid A. Sosnovskiy,et al.  Mechanothermodynamic Entropy and Analysis of Damage State of Complex Systems , 2016, Entropy.

[2]  Evans,et al.  Probability of second law violations in shearing steady states. , 1993, Physical review letters.

[3]  Zdeněk P. Bažant,et al.  Thermodynamics of interacting continua with surfaces and creep analysis of concrete structures , 1972 .

[4]  Ronald S. Rivlin,et al.  Some comments on the endochronic theory of plasticity , 1981 .

[5]  Cemal Basaran,et al.  Implementation of a Thermodynamic Framework for Damage Mechanics of Solder Interconnects in Microelectronics Packaging , 2002 .

[6]  Cemal Basaran,et al.  A thermodynamics based damage mechanics constitutive model for low cycle fatigue analysis of microelectronics solder joints incorporating size effects , 2005 .

[7]  C. Basaran,et al.  Thermomechanical Analysis of Solder Joints Under Thermal and Vibrational Loading , 2002 .

[8]  Cemal Basaran,et al.  Electromigration damage mechanics of lead-free solder joints under pulsed DC: A computational model , 2013 .

[9]  C. Basaran,et al.  Stress Whitening Quantification of Thermoformed Mineral Filled Acrylics , 2010 .

[10]  Yao Yao,et al.  An Entropy Based Low-Cycle Fatigue Life Prediction Model for Solder Materials , 2017, Entropy.

[11]  Wassim M. Haddad,et al.  Thermodynamics, A Dynamical Systems Approach , 2010 .

[12]  Barney E. Klamecki,et al.  Wear — an entropy production model , 1980 .

[13]  Mohammad Modarres,et al.  A thermodynamic entropy-based damage assessment with applications to prognostics and health management , 2018 .

[14]  E Suhir,et al.  Failure Oriented Accelerated Testing (FOAT), Boltzmann Arrhenius Zhurkov Equation (BAZ), and their Application in Aerospace Microelectronics and Photonics Reliability Engineering , 2019, International Journal of Aeronautical Science & Aerospace Research.

[15]  Keith Beven,et al.  A manifesto for the equifinality thesis , 2006 .

[16]  E. Jaynes.  The Gibbs Paradox , 1992 .

[17]  P. Mazur,et al.  Non-equilibrium thermodynamics, , 1963 .

[18]  J. Field.  Fracture of Solids , 1964 .

[19]  Aman Kumar,et al.  Low Cycle Fatigue Life Prediction Using Unified Mechanics Theory in Ti-6Al-4V Alloys , 2019, Entropy.

[20]  P. Ehrenfest,et al.  Ableitung des Dissoziationsgleichgewichtes aus der Quantentheorie und darauf beruhende Berechnung der chemischen Konstanten , 1921 .

[21]  Robert T. DeHoff,et al.  Thermodynamics in Materials Science , 1993 .

[22]  Cemal Basaran,et al.  A Thermodynamic Framework for Damage Mechanics of Solder Joints , 1998 .

[23]  Robert Herman,et al.  Kinetic theory of vehicular traffic , 1971 .

[24]  Minghui Lin,et al.  Damage Mechanics Modeling of Concurrent Thermal and Vibration Loading on Electronics Packaging , 2006 .

[25]  Wassim M. Haddad,et al.  Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems , 2005 .

[26]  A. Cuadras,et al.  Irreversible entropy model for damage diagnosis in resistors , 2015 .

[27]  A. Cuadras,et al.  Determination of LEDs degradation with entropy generation rate , 2017 .

[28]  P W Whaley.  Entropy Production during Fatigue as a Criterion for Failure. The Critical Entropy Threshold: A Mathematical Model for Fatigue. , 1983 .

[29]  B. Klamecki.  A thermodynamic model of friction , 1980 .

[30]  Á. Rivas,et al.  Topological Heat Transport and Symmetry-Protected Boson Currents , 2016, Scientific Reports.

[31]  Mohammad Modarres,et al.  Measures of Entropy to Characterize Fatigue Damage in Metallic Materials , 2019, Entropy.

[32]  Kim Sharp,et al.  Translation of Ludwig Boltzmann's Paper "On the Relationship between the Second Fundamental Theorem of the Mechanical Theory of Heat and Probability Calculations Regarding the Conditions for Thermal Equilibrium" Sitzungberichte der Kaiserlichen Akademie der Wissenschaften. Mathematisch-Naturwissen C , 2015, Entropy.

[33]  Cemal Basaran,et al.  Damage mechanics constitutive model for Pb/Sn solder joints incorporating nonlinear kinematic hardening and rate dependent effects using a return mapping integration algorithm , 2006 .

[34]  C. Basaran,et al.  Experimental verification of thermodynamic fatigue life prediction model using entropy as damage metric , 2015 .

[35]  Michael D. Bryant,et al.  A Thermodynamic Model for Lithium-Ion Battery Degradation: Application of the Degradation-Entropy Generation Theorem , 2019, Inventions.

[36]  Michael D. Bryant,et al.  Thermodynamics of Fatigue: Degradation-Entropy Generation Methodology for System and Process Characterization and Failure Analysis , 2019, Entropy.

[37]  Ganesh Subbarayan,et al.  Maximum Entropy Models for Fatigue Damage in Metals with Application to Low-Cycle Fatigue of Aluminum 2024-T351 , 2019, Entropy.

[38]  M. Ostoja-Starzewski,et al.  Continuum mechanics versus violations of the second law of thermodynamics , 2016 .

[39]  M. Khonsari,et al.  On the evaluation of fracture fatigue entropy , 2018, Theoretical and Applied Fracture Mechanics.

[40]  Cemal Basaran,et al.  Electromigration analysis of solder joints under ac load: A mean time to failure model , 2012 .

[41]  Wassim M. Haddad,et al.  Thermodynamics: The Unique Universal Science , 2017, Entropy.

[42]  K. Valanis.  Irreversibility and existence of entropy , 1971 .

[43]  Hua Ye,et al.  A thermodynamic model for electrical current induced damage , 2003 .

[44]  Lei He,et al.  Application of Differential Entropy in Characterizing the Deformation Inhomogeneity and Life Prediction of Low-Cycle Fatigue of Metals , 2018, Materials.

[45]  Q. Guo,et al.  An intrinsic dissipation model for high-cycle fatigue life prediction , 2018 .

[46]  M. Ostoja-Starzewski.  Second law violations, continuum mechanics, and permeability , 2016 .

[47]  J. Rice.  Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity , 1971 .

[48]  Cemal Basaran,et al.  A Damage Mechanics-Based Fatigue Life Prediction Model for Solder Joints , 2003 .

[49]  A. Cuadras,et al.  Entropy characterisation of overstressed capacitors for lifetime prediction , 2016 .

[50]  Debra J. Searles,et al.  Fluctuations relations for nonequilibrium systems , 2004 .

[51]  N. G. van Kampen.  The Gibbs Paradox , 1984 .

[52]  M. Naderi,et al.  On the thermodynamic entropy of fatigue fracture , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[53]  Minghui Lin,et al.  Damage mechanics of electromigration in microelectronics copper interconnects , 2007 .

[54]  Yiyu Shi,et al.  Entropy Production-Based Full-Chip Fatigue Analysis: From Theory to Mobile Applications , 2019, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[55]  Max Planck,et al.  On the Law of Distribution of Energy in the Normal Spectrum , 2013 .

[56]  Chun-Ching Hsiao,et al.  The Generated Entropy Monitored by Pyroelectric Sensors , 2018, Sensors.

[57]  C. Basaran,et al.  Electromigration induced strain field simulations for nanoelectronics lead-free solder joints , 2007 .

[58]  R. Callen,et al.  Thermodynamics and an Introduction to Thermostatistics, 2nd Edition , 1985 .

[59]  C. Basaran,et al.  Electric pulse induced impedance and material degradation in IC chip packaging , 2013, Electronic Materials Letters.

[60]  Cemal Basaran,et al.  Simulating Damage Mechanics of Electromigration and Thermomigration , 2008, Simul..

[61]  J. Rice,et al.  PARADOXES IN THE APPLICATION OF THERMODYNAMICS TO STRAINED SOLIDS. , 1969 .

[62]  Leonid A. Sosnovskiy,et al.  On the Development of Mechanothermodynamics as a New Branch of Physics , 2019, Entropy.

[63]  John R. Rice,et al.  Thermodynamics of the quasi-static growth of Griffith cracks , 1978 .

[64]  Cemal Basaran,et al.  A thermodynamics based damage mechanics model for particulate composites , 2007 .

[65]  Ilya Prigogine,et al.  Introduction to Thermodynamics of Irreversible Processes , 1967 .

[66]  Robert H. Swendsen,et al.  Statistical mechanics of colloids and Boltzmann’s definition of the entropy , 2006 .

[67]  A. Turing.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[68]  C. Basaran,et al.  An Irreversible Thermodynamics Theory for Damage Mechanics of Solids , 2004 .

[69]  Wassim M. Haddad,et al.  A Dynamical Systems Theory of Thermodynamics , 2019 .

[70]  Georgi Georgiev,et al.  Self-organization in non-equilibrium systems , 2015 .

[71]  Minghui Lin,et al.  Electromigration induced stress analysis using fully coupled mechanical-diffusion equations with nonlinear material properties , 2005 .

[72]  C. Basaran,et al.  Damage mechanics of electromigration induced failure , 2008 .

[73]  Cemal Basaran,et al.  Thermomigration induced degradation in solder alloys , 2008 .

[74]  C. Basaran,et al.  Time Dependent Behavior of a Particle Filled Composite PMMA/ATH at Elevated Temperatures , 2008 .

[75]  I. Prigogine,et al.  The molecular theory of solutions , 1957 .

[76]  A. Chudnovsky.  Statistics and thermodynamics of fracture , 1984 .

[77]  Cemal Basaran,et al.  Damage characterization in non-isothermal stretching of acrylics. Part II: Experimental validation , 2011 .

[78]  S. S. Sherbakov,et al.  Mechanothermodynamical system and its behavior , 2012 .

[79]  Mehdi Amiri,et al.  On the Role of Entropy Generation in Processes Involving Fatigue , 2011, Entropy.

[80]  Cemal Basaran,et al.  Computational damage mechanics of electromigration and thermomigration , 2013 .

[81]  Yao Yao,et al.  An Entropy-Based Failure Prediction Model for the Creep and Fatigue of Metallic Materials , 2019, Entropy.

[82]  Cemal Basaran,et al.  A computational damage mechanics model for thermomigration , 2009 .

[83]  Cemal Basaran,et al.  A Damage-Mechanics-Based Constitutive Model for Solder Joints , 2005 .

[84]  Debra J Searles,et al.  Experimental demonstration of violations of the second law of thermodynamics for small systems and short time scales. , 2002, Physical review letters.

[85]  E. Jaynes.  Information Theory and Statistical Mechanics , 1957 .

[86]  Cemal Basaran,et al.  Damage characterization in non-isothermal stretching of acrylics. Part I: Theory , 2011 .

[87]  Barney E. Klamecki,et al.  An entropy-based model of plastic deformation energy dissipation in sliding , 1984 .

[88]  M. Khonsari,et al.  Entropic characterization of metal fatigue with stress concentration , 2015 .

[89]  L. Onsager.  Reciprocal Relations in Irreversible Processes. II. , 1931 .

[90]  Mohammad Modarres,et al.  A Thermodynamic Entropy Approach to Reliability Assessment with Applications to Corrosion Fatigue , 2015, Entropy.

[91]  Joel L. Lebowitz,et al.  Boltzmann's Entropy and Time's Arrow , 1993 .

[92]  Leonid A. Sosnovskiy,et al.  A Model of Mechanothermodynamic Entropy in Tribology , 2017, Entropy.