001432339 000__ 06315cam\a2200625\a\4500 001432339 001__ 1432339 001432339 003__ OCoLC 001432339 005__ 20230309003437.0 001432339 006__ m\\\\\o\\d\\\\\\\\ 001432339 007__ cr\un\nnnunnun 001432339 008__ 201107s2021\\\\sz\\\\\\o\\\\\000\0\eng\d 001432339 019__ $$a1202760346$$a1225562678 001432339 020__ $$a9783030537555$$q(electronic bk.) 001432339 020__ $$a3030537552$$q(electronic bk.) 001432339 020__ $$z3030537544 001432339 020__ $$z9783030537548 001432339 0247_ $$a10.1007/978-3-030-53755-5$$2doi 001432339 035__ $$aSP(OCoLC)1204136187 001432339 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dYDX$$dUKAHL$$dGW5XE$$dOCLCO$$dSFB$$dYDXIT$$dOCLCF$$dOCL$$dOCLCQ$$dOCLCO$$dOCLCQ 001432339 049__ $$aISEA 001432339 050_4 $$aTA405 001432339 08204 $$a620.1/1292$$223 001432339 24500 $$aDynamics, strength of materials and durability in multiscale mechanics /$$cFrancesco dell'Isola, Leonid Igumnov, editors. 001432339 260__ $$aCham :$$bSpringer,$$c2021. 001432339 300__ $$a1 online resource (410 pages) 001432339 336__ $$atext$$btxt$$2rdacontent 001432339 337__ $$acomputer$$bc$$2rdamedia 001432339 338__ $$aonline resource$$bcr$$2rdacarrier 001432339 4901_ $$aAdvanced structured materials ;$$vv. 137 001432339 500__ $$a5.9 Comparative Analysis of the Results of Analyzing the Cavity Problem in Media with Tresca's, Mohr-Coulomb, and Mohr-Coulomb-Tresca's Plasticity Conditions. 001432339 5050_ $$aIntro -- Contents -- 1 Modeling Fatigue Life of Structural Alloys Under Block Asymmetric Loading -- 1.1 Introduction -- 1.2 Constitutive Equations of MDM -- 1.2.1 Constitutive Equations in Plasticity -- 1.2.2 Evolutionary Equations Describing Fatigue Damage Accumulation -- 1.2.3 Strength Criterion of Damaged Material -- 1.3 Numerical Results -- 1.3.1 Block-Type Asymmetric Soft Cyclic Loading -- 1.3.2 Multi-axial Proportional and Non-proportional Regimes of Soft Block-Type Cyclic Loading -- 1.3.3 Hard Block-Type Asymmetric Low-Cycle Loading -- 1.4 Conclusion -- References 001432339 5058_ $$a2 Excitation of the Waves with a Focused Source, Moving Along the Border of Gradient-Elastic Half-Space -- 2.1 Introduction -- 2.2 The Basic Equations of Gradient Theory of Elasticity -- 2.3 The Statement and Solution to the General Problem of Waves Propagation in Gradient-Elastic Medium -- 2.4 The Statement and Solution to the Problem of a Gradient-Elastic Medium with a Moving Source Generating Surface Waves -- 2.4.1 The Subsonic Case -- 2.4.2 The Supersonic Case -- 2.5 Conclusion -- References 001432339 5058_ $$a3 On the Spectrum of Relaxation Times in Coupled Diffusion and Rheological Processes in Metal Alloys -- 3.1 Introduction -- 3.2 The Brassart's Model Supplemented with Elastic Strains -- 3.2.1 Deformation and Volumetric Expansion -- 3.2.2 Free Energy -- 3.2.3 Thermodynamic Inequality -- 3.2.4 Elastic Relations and Functions of State -- 3.2.5 Kinetic Equations -- 3.2.6 Balance Equations -- 3.3 Analysis of Relaxation of Spatial Perturbations -- 3.3.1 Model Problem -- 3.3.2 Field Equations -- 3.3.3 Perturbed System and Its Analysis -- 3.3.4 The Relaxation Time of Perturbations and Their Asymptotics 001432339 5058_ $$a3.4 Conclusion -- References -- 4 Finite Element Method Study of the Protection Damping Elements Dynamic Deformation -- 4.1 Introduction -- 4.2 Constitutive System of Equations and Problem Solution Method -- 4.2.1 MHS Filler Modeling -- 4.2.2 Finite Element Analysis -- 4.3 Results of Computational Experiments -- 4.4 Conclusion -- References -- 5 Analyzing the Problem of a Spherical Cavity Expansion in a Medium with Mohr-Coulomb-Tresca's Plasticity Condition -- 5.1 Introduction -- 5.2 Formulation of an Initial Boundary-Value Problem for a System of Partial Differential Equations 001432339 5058_ $$a5.3 Formulating a Boundary-Value Problem for a System of Two First-Order Ordinary Differential Equations in the Plastic Region -- 5.4 Formulation and Solution of the Boundary-Value Problem for Second-Order ODE's in the Elastic Deformation Region -- 5.5 Determining the Critical Pressure -- 5.6 An Analytical Solution of the Cavity Expansion Problem in a Medium with a Linear Shock Adiabat -- 5.7 Determining Stresses in a Medium with the Mohr-Coulomb Yield Condition -- 5.8 Determining Stress in a Medium with Mohr-Coulomb-Tresca's Yield Condition 001432339 506__ $$aAccess limited to authorized users. 001432339 520__ $$aThis book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena. In particular, it addresses: 1: the impacts of effective dissipation due to kinetic energy trapped at lower scales 2: wave propagation in generalized continua 3: nonlinear phenomena in metamaterials 4: the formalization of more general models to describe the exotic behavior of meta-materials 5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials. 001432339 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 22, 2021). 001432339 650_0 $$aMaterials$$xMechanical properties$$xMathematical models. 001432339 650_0 $$aMaterials$$xMathematical models. 001432339 650_0 $$aMultiscale modeling. 001432339 650_6 $$aMatériaux$$xPropriétés mécaniques$$xModèles mathématiques. 001432339 650_6 $$aMatériaux$$xModèles mathématiques. 001432339 650_6 $$aAnalyse multiéchelle. 001432339 655_0 $$aElectronic books. 001432339 7001_ $$aDell'Isola, Francesco. 001432339 7001_ $$aIgumnov, Leonid. 001432339 77608 $$iPrint version:$$aDell'Isola, Francesco.$$tDynamics, Strength of Materials and Durability in Multiscale Mechanics.$$dCham : Springer International Publishing AG, ©2021$$z9783030537548 001432339 830_0 $$aAdvanced structured materials ;$$v137. 001432339 852__ $$bebk 001432339 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-53755-5$$zOnline Access$$91397441.1 001432339 909CO $$ooai:library.usi.edu:1432339$$pGLOBAL_SET 001432339 980__ $$aBIB 001432339 980__ $$aEBOOK 001432339 982__ $$aEbook 001432339 983__ $$aOnline 001432339 994__ $$a92$$bISE