Sixty Shades of Generalized Continua

In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.

Discusses modern aspects of generalized continua Develops new approaches to model modern materials and new effects caused Is dedicated to 60th birthday of Prof. V. Eremeyev

Contenu

1. Effects of 3-D Printing Infill Density Parameter on the Mechanical Properties of PLA Polymer.- 2. Advance Approximate Analytical Solutions of the Contact Problem for an Inhomogeneous Layer.- 3. The Direct Approach for Plates Considering Hygrothermal Loading and Residual Kinetics.- 4. A Technique for Determining True Deformation Diagrams Under Dynamic Tension Using DIC.- 5. Strain Gradient Elasticity and Dual Internal Variables.- 6. On the Coercivity of Strain Energy Functions in Generalized Models of 6-Parameter Shells.- 7. Solving the Equations of Nonlinear Model of Crystalline Media with Complex Lattice and Some Structures of Plane Deformation.- 8. Modal Analysis of a Second-Gradient Annular Plate made of an Orthogonal Network of Logarithmic Spiral Fibers.- 9. Non-Linear Simplest Reduced Kelvin's Medium in the Vicinity of the Spherical Stress State: Waves and Instabilities.- 10. On the Spectrum of Relaxation Times of Coupled Diffusion and Rheological Processes in Media with Microstructure.- 11. Representative Volume Element Size and Length Scale Identification in Generalised Magneto-Elasticity.- 12. Rayleigh Waves in the Cosserat Half-Space (Reduced Model) and Half-Space of Damaged Material.- 13. Validation of a Hemi-Variational Block-Based Approach to the Modelling of Common In-plane Failures in Masonry Structures.- 14. Size Effects in Cosserat Crystal Plasticity.- 15. On the Influence of Poisson's Ratio on Phase Transformations Limiting Surfaces.- 16. Application of Nonlocal Fick's Law Within Micropolar Approach.- 17. Geometrically Nonlinear Cosserat Elasticity with Chiral Effects Based upon Granular Micromechanics.- 18. Study of the Dynamic Properties of Reinforced Concrete Under High-Speed Compression.- 19. Multistability of Convective Flows in a Porous Enclosure.- 20. Hydrogen Transport in Framework of Linear Non-Equilibrium Thermodynamics Approach.- 21. Classical and Non-Classical Models of Changes in the Young Modulus of Geomaterials Under Alternating Loads.- 22. Two Approaches to Modeling Viscoelastic Cosserat Continua.- 23. Porous Media Models Based on Generalized State Equations with Simple Examples.- 24. Ball Indentation of Perforated Circular Hyperelastic Membranes.- 25. Integrated Asymptotic Approach to the Structural Mechanics Models.- 26. The Homogenized Delamination Criterion for Fiber-reinforced Plate.- 27. Lightly Loaded Hydrodynamic Thrust Bearing Lubricated by a Non-Newtonian Fluid.- 28. The Idea of Using Adhesive Bonds in Shaping of Cold-formed Thin-walled Beam-columns.- 29. Dissipative Mechano-Electro-Magnetism Simulations in Electronic Components.- 30. On Possible Reduction of Gradient Theories of Elasticity.- 31. Dynamics of a Rectangular Rigid Body on a Movable Base.- 32. Asymptotically Correct Analytical Model for Flexural Response of a Two-Layer Strip with Contrast Elastic Constants.- 33. On Analytical Modeling of Tension-Assisted Winding of Flexible Sheets.- 34. On Using Rotations as Primary Variables in the Nonlinear Theory of Thin Elastic Shells.- 35. Continuum Description of Extended Mass-in-Mass Metamaterial Models.- 36. Multi-Element Metamaterial's Design Through the Relaxed Micromorphic Model.- 37. On Magnetically Induced Motion of Micropolar Ferrofluids.- 38. Manufacturing Quality Evaluation of Photopolymer Resin 3D-Printed Scaffolds Using Microtomography.- 39. Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters.- 40. Buckling of Rectangular Micropolar Plate with Prestressed Coatings.- 41. A Cosserat Model for Fiber-Reinforced Elastic Plates.- 42. On the Structure of Solutions in the Vicinity of Discontinuity of Boundary Conditions for Gradient Models.- 43. A Damaged Medium Model for Assessing Life Characteristics of Polycrystalline Structural Alloys with Joint Mechanical Fatigue and Long-Term Strength of Material.- 44. Bandgap Properties of a Class of Chiral and Achiral Metamaterials.- 45. Large Strains of a Spherical Shell with Distributed Dislocations and Disclinations.