Internal variables in thermoelasticity

This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material's reaction to...

Full description

Saved in:
Bibliographic Details
Main Author Berezovski, Arkadi
Other Authors Ván, Peter
Format Electronic eBook
LanguageEnglish
Published Cham : Springer, 2017.
SeriesSolid mechanics and its applications ; v. 243.
Subjects
Thermoelasticity.
elektronické knihy
electronic books
Online AccessFull text
ISBN9783319569345
9783319569338
Physical Description1 online resource (222 pages)

Cover

LEADER 00000cam a2200000Mi 4500
001 100077
003 CZ-ZlUTB
005 20251008112007.0
006 m o d
007 cr bn|---aucuu
008 170513s2017 sz ob 001 0 eng d
040 |a EBLCP  |b eng  |e pn  |c EBLCP  |d YDX  |d OCLCO  |d GW5XE  |d OCLCF  |d UAB  |d ESU  |d AZU  |d UPM  |d IOG  |d COO  |d MERER  |d OCLCQ  |d N$T  |d U3W  |d CAUOI  |d OCLCQ  |d KSU  |d VT2  |d AU@  |d WYU  |d OCLCQ  |d UKMGB  |d UKAHL  |d OCLCQ  |d ERF  |d UKBTH  |d OCLCQ 
020 |a 9783319569345  |q (electronic bk.) 
020 |z 9783319569338 
024 7 |a 10.1007/978-3-319-56934-5  |2 doi 
035 |a (OCoLC)987087379  |z (OCoLC)986628025  |z (OCoLC)986863988  |z (OCoLC)990108235  |z (OCoLC)990570700  |z (OCoLC)992469382  |z (OCoLC)992486833  |z (OCoLC)992827679  |z (OCoLC)993056540  |z (OCoLC)999355442  |z (OCoLC)1005757296  |z (OCoLC)1011908642  |z (OCoLC)1036286481  |z (OCoLC)1048142658  |z (OCoLC)1058202627  |z (OCoLC)1066462982  |z (OCoLC)1086518313  |z (OCoLC)1112532294  |z (OCoLC)1112858198  |z (OCoLC)1113464845  |z (OCoLC)1125679651 
100 1 |a Berezovski, Arkadi. 
245 1 0 |a Internal variables in thermoelasticity /  |c Arkadi Berezovski, Peter Ván. 
260 |a Cham :  |b Springer,  |c 2017. 
300 |a 1 online resource (222 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a počítač  |b c  |2 rdamedia 
338 |a online zdroj  |b cr  |2 rdacarrier 
490 1 |a Solid Mechanics and Its Applications ;  |v v. 243 
505 0 |a Preface; Contents; 1 Instead of Introduction; 1.1 One-Dimensional Elastic Waves in Heterogeneous Solids; 1.1.1 Single Inclusion; 1.1.2 Periodic Laminate; 1.1.3 Functionally Graded Material; 1.1.4 Remarks; 1.2 Models for One-Dimensional Dispersive Waves in Solids with Microstructure; 1.2.1 Classical Wave Equation; 1.2.2 Strain Gradient Model; 1.2.3 Linear Version of the Boussinesq Equation; 1.2.4 Love-Rayleigh Equation for Rods Accounting for Lateral Inertia; 1.2.5 Refined Models; 1.2.6 Models with Higher-Order Time Derivatives; 1.2.7 Remarks; 1.3 Conclusions; References. 
505 8 |a Part I Internal Variables in Thermomechanics2 Introduction; 2.1 Micro versus Macro; 2.2 Internal Variables and Dynamic Degrees of Freedom; 2.2.1 Internal Variables of State; 2.2.2 Internal Dynamic Degrees of Freedom; 2.2.3 Similarity and Differences; 2.3 Generalization: Dual Internal Variables; 2.4 Historical Remarks; References; 3 Thermomechanical Single Internal Variable Theory; 3.1 Introduction; 3.2 Thermodynamic Rheology; 3.2.1 Balance Laws; 3.2.2 The Second Law of Thermodynamics; 3.2.3 Linear Solution of Dissipation Inequality for Isotropic Materials. 
505 8 |a 3.2.4 Elimination of the Internal Variable3.2.5 Rheology and Thermodynamics; 3.3 Material Thermomechanics; 3.3.1 Material and Spatial Time Derivatives; 3.3.2 Balance Laws; 3.3.3 Material Form of the Energy Conservation; 3.3.4 Material (Canonical) Momentum Conservation; 3.4 Single Internal Variable Theory; 3.4.1 Dissipation Inequality; 3.4.2 Simple Evolution Equation for Internal Variable; 3.5 Example: Phase Field Theory; 3.6 Conclusions; References; 4 Dual Internal Variables; 4.1 Introduction; 4.2 Dual Internal Variables; 4.2.1 Non-zero Extra Entropy Flux. 
505 8 |a 4.2.2 Evolution Equations for Internal Variables4.2.3 Fully Dissipative Case; 4.2.4 Non-dissipative Case; 4.3 Example: Cosserat Media; 4.3.1 Linear Micropolar Media; 4.3.2 Microrotation as an Internal Variable; 4.4 Example: Micromorphic Linear Elasticity; 4.4.1 The Mindlin Microelasticity; 4.4.2 Rearrangement; 4.4.3 Microdeformation Tensor as an Internal Variable; 4.4.4 Remark on Second Gradient Elasticity; 4.5 Conclusions; References; Part II Dispersive Elastic Waves in One Dimension; 5 Internal Variables and Microinertia; 5.1 Introduction. 
505 8 |a 5.2 Single Internal Variable: One-Dimensional Example5.2.1 Evolution Equation for a Single Internal Variable; 5.3 Dual Internal Variables in One Dimension; 5.3.1 Example: Linear Elasticity; 5.4 Summary and Discussion; References; 6 Dispersive Elastic Waves; 6.1 One-Dimensional Thermoelasticity in Solids with Microstructure; 6.2 Description with Single Internal Variable ; 6.3 Dispersive Wave Equation with Direct Coupling; 6.4 Dispersive Wave Equation with Gradient Coupling; 6.5 Description with Dual Internal Variables; 6.6 Microstructure Model with Direct Coupling. 
500 |a 6.6.1 Single Dispersive Wave Equation. 
500 |a Includes index. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material's reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables. The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them. 
504 |a Includes bibliographical references at the end of each chapters and index. 
590 |a SpringerLink  |b Springer Complete eBooks 
650 0 |a Thermoelasticity. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Ván, Peter. 
776 0 8 |i Print version:  |a Berezovski, Arkadi.  |t Internal Variables in Thermoelasticity.  |d Cham : Springer International Publishing, ©2017  |z 9783319569338 
830 0 |a Solid mechanics and its applications ;  |v v. 243. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://link.springer.com/10.1007/978-3-319-56934-5 
992 |c NTK-SpringerENG 
999 |c 100077  |d 100077 
993 |x NEPOSILAT  |y EIZ 

Similar Items