Iutam Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics: Proceedings of the IUTAM-ISIMM Symposium Held in Nottingham, U. K. , 30 August - 3 September 1994

The proceedings of the __IUTAM Symposium on Anisotropy, Inhomogeneity____and Nonlinearity in Solid Mechanics__ contains 69 papers by acknowledged experts covering recent research in this field of solid mechanics. The material has been grouped into eight sections: Characterisation of Anisotropic Materials; Large Deformations and Flow; Numerical Studies in Plasticity; Plasticity and Granular Materials; Fracture and Damage; Anisotropic Media; Composite Materials; Waves and Vibrations. Individual papers cover analytical methods, experimental and/or numerical techniques which may be applied to static or dynamic problems for anisotropic media. __Audience:__ Those engaged in developing, modelling and testing modern composite, laminated or inhomogeneous materials will find their current problems discussed by experts. Front Matter....Pages i-xvi Front Matter....Pages 1-1 Optimization of Direct Biaxial Testing of Anisotropic Materials....Pages 3-18 Anisotropy and Proper States of Materials....Pages 19-24 Characterising a 2D Elasticity Tensor by Two Orientation Distribution Functions....Pages 25-30 The Mirror Symmetries of Anisotropic Elasticity....Pages 31-36 Integrity Bases for a Fourth-Rank Tensor....Pages 37-42 On Anisotropy at the Actual Configuration and the Adequate Formulation of a Free Energy Function....Pages 43-50 A Continuum Model for Induced Anisotropy with Application to Natural Ice....Pages 51-56 On the Roles of Initial and Induced Anisotropies....Pages 57-62 Higher Grade Material Structures....Pages 63-68 Local Atomic Level Elastic Moduli of Surface Regions....Pages 69-74 Front Matter....Pages 75-75 Description of Finite Plastic Deformations in Single Crystals by Material Isomorphisms....Pages 77-90 Modelling of Textured Materials....Pages 91-96 Sensitivity Analysis of Fibre-Reinforced Composites with Interphase Unilateral Constraints....Pages 97-102 Effective Local Properties for Modelling of Functionally Graded Composite Materials....Pages 103-108 A Dislocation Solution for a Nonlinear Material with a Yield Stress....Pages 109-114 The Application of Hyperelastic and Rate Dependent Models to the Multiaxial Deformation of Polymers....Pages 115-120 Squeezing Flow of Fibre-Reinforced Viscoelastic Composites....Pages 121-126 Nonlinear Thermo-Visco-Elastic Behaviour....Pages 127-132 Damped Periodic Fluctuations in Certain Smectic Liquid Crystals....Pages 133-138 Front Matter....Pages 139-139 Dynamic Flow Localization in Plane-Strain Blocks Obeying a Thermo-Elasto-Viscoplastic Constitutive Equation....Pages 141-148 Front Matter....Pages 139-139 Numerical and Experimental Assessment of the Size and Boundary Conditions Effects for the Overall Properties of Granular Composite Bodies Smaller than the Representative Volume....Pages 149-154 Out-of-Plane Deformation in Laminated Sheet Metals....Pages 155-160 A New Model of Nonlinear Dynamic Creep....Pages 161-166 Front Matter....Pages 167-167 Double-Shearing Theory for Dilatant Granular Materials....Pages 169-182 Equations Governing Plane Plastic Deformation in Anisotropic Materials....Pages 183-190 Bounds for the Effective Yield Surface of Polycrystals....Pages 191-200 Analysis of the Influence of Anisotropy Effects on Adiabatic Shear Band Localization Phenomena....Pages 201-210 An Analytical Investigation of Inhomogeneous Straining, Subgrain Formation, and the Initiation of Microshear Bands in Bicrystals....Pages 211-216 On the Stability of Shear Bands....Pages 217-222 Phase Inhomogeneities in Deformed Superalloy Single Crystals: Numerical Estimates....Pages 223-228 Material Symmetry in Solid Crystals....Pages 229-234 On the Volume Changes of Granular Materials and Their Consequences for Plasticity Theory....Pages 235-240 Dynamic Deformations in the Theory of Fluid-Saturated Porous Solid Materials....Pages 241-246 Front Matter....Pages 247-247 Fracturing in Anisotropic Solids....Pages 249-262 Analysis of Anomalous Microcrack Growth in a Brittle Porous Material Prior to Compression Failure....Pages 263-268 Influence of Subcritical Propagation of Initial Flaws on the Reliability of Brittle Structures....Pages 269-274 Effect of Dynamic Strain Ageing and Portevin-Le-Chatelier Instabilities on the Tearing Failure of 2091 Al-Li Sheets....Pages 275-280 Modelling of Semi-Brittle Ceramics Behaviour under a Quasi-Static Deformation Process....Pages 281-286 Interactions between Cracks and Inclusions....Pages 287-292 Multi-Fracture Processes in Ceramic Composites....Pages 293-298 Front Matter....Pages 247-247 Three-Dimensional Buckling Analysis of Orthotropic Cylinders Subjected to Thermo-Mechanical Loading....Pages 299-304 Front Matter....Pages 305-305 3-D Elastodynamic Green’s Functions for BEM Applications to Anisotropic Solids....Pages 307-320 Green’s Functions for an Anisotropic Elliptic Inclusion under Antiplane Deformations....Pages 321-326 Boundary Layer Problem in a Piezoelectric Composite....Pages 327-332 Relaxed Energy Densities for Anisotropic Membranes....Pages 333-338 Qualitative Estimates for Laminate-Like Elastic Materials....Pages 339-344 Configurational Forces and Coherent Phase-Transition Fronts in Thermoelastic Solids....Pages 345-350 The Formulation of Constitutive Equations for Anisotropic Materials with Different Behaviour in Tension and Compression....Pages 351-356 Front Matter....Pages 357-357 An Application of the IFRM Theory to Evaluation of Interlaminar Shear Stresses in a Fibre-Reinforced Laminate....Pages 359-370 Ideal Fibre-Reinforced Materials and the Deformation of Real Composites....Pages 371-378 Constitutive Equation for a Fiber-Reinforced Lamina....Pages 379-384 Elastic and Elastic-Plastic Deformations of Ideal Fibre-Reinforced Materials....Pages 385-390 Micro-Mechanics of a Segmented Embedded Fibre....Pages 391-396 A One-Dimensional Discrete Model of a Nanolayered Structure....Pages 397-402 Morphological N-Layered Cylindrical Pattern-Based Micromechanical Modelling....Pages 403-408 Upper and Lower Bounds for the Overall Properties of a Nonlinear Elastic Composite....Pages 409-414 Effective Yield Surfaces for Anisotropic Composite Materials....Pages 415-422 Front Matter....Pages 423-423 Waves in Dissipative Anisotropic Solids....Pages 425-430 Inhomogeneous Plane Waves in Anisotropic Elastic Materials....Pages 431-436 Interfacial Phonons and the Existence of Elastic Interfacial Waves....Pages 437-442 Front Matter....Pages 423-423 Nonlinear Waves in Soils and Rocks....Pages 443-448 Surface Motion of Anisotropic and Inhomogeneous Alluvial Valleys Under Incident Plane SH Waves....Pages 449-454 Some New Ideas in the Theory of Surface Acoustic Waves in Anisotropic Media....Pages 455-462 Nonlinear Surface Waves Travelling Over a Corrugated Elastic Half-Space....Pages 463-468 Wave Propagation in Periodically Layered Elastic and Electroelastic Media....Pages 469-474 Waves in Pre-Stressed Laminated Plates....Pages 475-480 Dynamic Behaviour of Fibre Reinforced Circular Cylinders and Shells....Pages 481-486 Aspects of Chaotic Response of an Elastic-Plastic Beam to Impulsive Loading....Pages 487-492 Secondary Instability of a Pre-Stressed Elastic Plate....Pages 493-498 Back Matter....Pages 499-520 This volume records the Symposium on 'Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics', held at the University of Nottingham from 30th August to 3rd September 1994, sponsored by the International Union of Theoretical and Applied Mechanics and held in conjunction with the In ternational Society for the Interaction of Mechanics and Mathematics. The advent of composite materials, together with their widespread use in recent years, has provided a powerful stimulus for advances in several somewhat ne glected areas of solid mechanics. Exploitation of fibre-reinforced solids and laminates has rekindled interest in the theory and application of anisotropic elasticity and motivated study of many aspects of material inhomogeneity. The need to understand fibre-matrix interactions, especially in modelling metal matrix composites and the forming of thermoplastic components has fostered advances in plasticity and viscoelasticity theory, to describe phenomena such as deformation-induced inhomogeneity and anisotropy. Plasticity and flow of granular media are also intrinsically nonlinear, giving rise, for example, to highly anisotropic and strongly localized effects, such as shear bands. Most materials contain impurities. These inclusions, even if microscopically isotropic, cause macroscopic anisotropy in an 'effective-medium' theory. Dy namic behaviour is even more complex, since wave propagation reveals both attenuation and dispersion effects. Increased interest in finer-scaled compos ites (nanotechnology and superlattices) and ultra-high frequency techniques continue to reveal new effects, due to inhomogeneity and microstructure. An example included here is lattice-induced dispersion for certain surface waves of relatively long wavelength

The proceedings of the IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics contains 69 papers by acknowledged experts covering recent research in this field of solid mechanics. The material has been grouped into eight sections: Characterisation of Anisotropic Materials; Large Deformations and Flow; Numerical Studies in Plasticity; Plasticity and Granular Materials; Fracture and Damage; Anisotropic Media; Composite Materials; Waves and Vibrations. Individual papers cover analytical methods, experimental and/or numerical techniques which may be applied to static or dynamic problems for anisotropic media.
Audience: Those engaged in developing, modelling and testing modern composite, laminated or inhomogeneous materials will find their current problems discussed by experts.