This second volume of the series Lecture Notes in Applied and Computational Mechanics is the second part of the compendium of reviewed articles presented at the 11th EUROMECH-MECAMAT conference entitled "Mechanics of microstructured solids: cellular materials, fibre reinforced solids and soft tissues", which took place in Torino (Italy) in March 10-14, 2008, at the Museo Regional delle Scienze. This EUROMECH-MECAMAT conference was jointly organized by the Dipartimento di Matematica dell'Universit? di Torino, Italy and the INPL Institute (LEMTA, Nancy-Universit?, France). Prof. Franco Pastrone and Prof. Jean-Fran?ois Ganghoffer were the co-chairmen.
Author(s): J.-F. Ganghoffer, Franco Pastrone
Edition: 1st Edition.
Year: 2010
Language: English
Pages: 96
Tags: Механика;Механика деформируемого твердого тела;
3642051707......Page 1
Mechanics of Microstructured Solids 2: Cellular Materials, Fibre Reinforced Solids and Soft Tissues (Lecture Notes in Applied and Computational Mechanics, Volume 50)......Page 4
Forword......Page 6
Contents......Page 7
Geometry of Deformation......Page 8
Constitutive Equations......Page 9
Equilibrium Conditions......Page 10
Navier's Equation and Kelvin's Problem......Page 11
Compatibility Conditions......Page 12
Tonti Diagram......Page 14
References......Page 15
Introduction......Page 16
The Field Equations......Page 17
Particular Models. I: Textile Fabrics......Page 19
Inextensible Fibers, Constitutive Hypotheses......Page 20
Field Equations......Page 21
The Field Equation......Page 24
References......Page 26
Introduction......Page 28
Statement of the Problem and Numerical Technique......Page 29
Interactions of Solitons from KdV Soliton Ensembles......Page 30
Interactions of Solitons with Strong Tails......Page 32
References......Page 34
Multi-scale Model......Page 36
Finite Element Equations......Page 37
Results......Page 39
Influence of Strain Hardening and Relative Density on Damage......Page 41
References......Page 43
Introduction......Page 44
Active-Stress and Active-Strain Constitutive Equations......Page 45
Notational Digression......Page 46
Symmetry and Positivity of the Constitutive Tensors......Page 48
Boundary Working, Internal Power, and Stored Energy......Page 49
Material Symmetry......Page 51
Transversely Isotropic Piezoelectric Materials......Page 52
AFCs as Piezoelectric Materials......Page 53
References......Page 54
Introduction......Page 56
Reminder of Thermodynamics: Gibbs and Gibbs-Duhem Relations......Page 58
Eshelby Stress in the Light of the Thermodynamics of Open Systems......Page 60
Eshelby Tensor and Gibbs-Duhem Constraint as a Transversality Condition......Page 64
Summary and Perspectives......Page 67
References......Page 68
Introduction......Page 70
Evolution Problems in Thermodynamics with Memory......Page 71
Cole-Hopf Transformation......Page 73
Concluding Remarks......Page 76
References......Page 77
Introduction......Page 78
Rate Constitutive Equations......Page 79
Textile Composite Reinforcement Mechanical Behaviour......Page 80
Objective Derivative Based on the Fibre Rotation......Page 81
Constitutive Matrix......Page 82
Mesoscopic Simulation of the Shear of a a Glass Plain Weave Unit Cell......Page 83
Conclusion......Page 84
References......Page 85
Introduction......Page 86
Fiber-Reinforced Bodies and Torsional Deformations......Page 87
The Pure Torsional Deformation: Strain and Stress......Page 88
The Balance Equations and the Stress Field......Page 89
Stress Resultants and Torsion Tests......Page 91
References......Page 94
Author Index......Page 95
