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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 - David F. Parker

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

By: David F. Parker (Editor), A. H. England (Editor)

Hardcover Published: 31st August 1995
ISBN: 9780792335948
Number Of Pages: 520

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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.

Optimization of Direct Biaxial Testing of Anisotropic Materialsp. 3
Anisotropy and Proper States of Materialsp. 19
Characterising a 2D Elasticity Tensor by Two Orientation Distribution Functionsp. 25
The Mirror Symmetries of Anisotropic Elasticityp. 31
Integrity Bases for a Fourth-rank Tensorp. 37
On Anisotropy at the Actual Configuration and the Adequate Formulation of a Free Energy Functionp. 43
A Continuum Model for Induced Anisotropy with Application to Natural Icep. 51
On the Roles of Initial and Induced Anisotropiesp. 57
Higher Grade Material Structuresp. 63
Local Atomic Level Elastic Moduli of Surface Regionsp. 69
Description of Finite Plastic Deformations in Single Crystals by Material Isomorphismsp. 77
Modelling of Textured Materialsp. 91
Sensitivity Analysis of Fibre-reinforced Composites with Interphase Unilateral Constraintsp. 97
Effective Local Properties for Modelling of Functionally Graded Composite Materialsp. 103
A Dislocation Solution for a Nonlinear Material with a Yield Stressp. 109
The Application of Hyperelastic and Rate Dependent Models to the Multiaxial Deformation of Polymersp. 115
Squeezing Flow of Fibre-reinforced Viscoelastic Compositesp. 121
Nonlinear Thermo-visco-elastic Behaviourp. 127
Damped Periodic Fluctuations in Certain Smectic Liquid Crystalsp. 133
Dynamic Flow Localization in Plane-Strain Blocks Obeying a Thermo-elasto-viscoplastic Constitutive Equationp. 141
Numerical and Experimental Assessment of the Size and Boundary Conditions Effects for the Overall Properties of Granular Composite Bodies Smaller than the Representative Volumep. 149
Out-of-plane Deformation in Laminated Sheet Metalsp. 155
A New Model of Nonlinear Dynamic Creepp. 161
Double-shearing Theory for Dilatant Granular Materialsp. 169
Equations Governing Plane Plastic Deformation in Anisotropic Materialsp. 183
Bounds for the Effective Yield Surface of Polycrystalsp. 191
Analysis of the Influence of Anisotropy Effects on Adiabatic Shear Band Localization Phenomenap. 201
An Analytical Investigation of Inhomogeneous Straining, Subgrain Formation, and the Initiation of Microshear Bands in Bicrystalsp. 211
On the Stability of Shear Bandsp. 217
Phase Inhomogeneities in Deformed Superalloy Single Crystals: Numerical Estimatesp. 223
Material Symmetry in Solid Crystalsp. 229
On the Volume Changes of Granular Materials and their Consequences for Plasticity Theoryp. 235
Dynamic Deformations in the Theory of Fluid-saturated Porous Solid Materialsp. 241
Fracturing in Anisotropic Solidsp. 249
Analysis of Anomalous Microcrack Growth in a Brittle Porous Material Prior to Compression Failurep. 263
Influence of Subcritical Propagation of Initial Flaws on the Reliability of Brittle Structuresp. 269
Effect of Dynamic Strain Ageing and Portevin-le-Chatelier Instabilities on the Tearing Failure of 2091 Al-Li Sheetsp. 275
Modelling of Semi-brittle Ceramics Behaviour under a Quasi-static Deformation Processp. 281
Interactions between Cracks and Inclusionsp. 287
Multi-fracture Processes in Ceramic Compositesp. 293
Three-dimensional Buckling Analysis of Orthotropic Cylinders Subjected to Thermo-mechanical Loadingp. 299
3-D Elastodynamic Green's Functions for BEM Applications to Anisotropic Solidsp. 307
Green's Functions for an Anisotropic Elliptic Inclusion under Antiplane Deformationsp. 321
Boundary Layer Problem in a Piezoelectric Compositep. 327
Relaxed Energy Densities for Anisotropic Membranesp. 333
Qualitative Estimates for Laminate-like Elastic Materialsp. 339
Configurational Forces and Coherent Phase-transition Fronts in Thermoelastic Solidsp. 345
The Formulation of Constitutive Equations for Anisotropic Materials with Different Behaviour in Tension and Compressionp. 351
An Application of the IFRM Theory to Evaluation of Interlaminar Shear Stresses in a Fibre-reinforced Laminatep. 359
Ideal Fibre-reinforced Materials and the Deformation of Real Compositesp. 371
Constitutive Equation for a Fiber-reinforced Laminap. 379
Elastic and Elastic-plastic Deformations of Ideal Fibre-reinforced Materialsp. 385
Micro-mechanics of a Segmented Embedded Fibrep. 391
A One-dimensional Discrete Model of a Nanolayered Structurep. 397
Morphological n-Layered Cylindrical Pattern-based Micromechanical Modellingp. 403
Upper and Lower Bounds for the Overall Properties of a Nonlinear Elastic Compositep. 409
Effective Yield Surfaces for Anisotropic Composite Materialsp. 415
Waves in Dissipative Anisotropic Solidsp. 425
Inhomogeneous Plane Waves in Anisotropic Elastic Materialsp. 431
Interfacial Phonons and the Existence of Elastic Interfacial Wavesp. 437
Nonlinear Waves in Soils and Rocksp. 443
Surface Motion of Anisotropic and Inhomogeneous Alluvial Valleys under Incident Plane SH Wavesp. 449
Some New Ideas in the Theory of Surface Acoustic Waves in Anisotropic Mediap. 455
Nonlinear Surface Waves Travelling over a Corrugated Elastic Half-spacep. 463
Wave Propagation in Periodically Layered Elastic and Electroelastic Mediap. 469
Waves in Pre-stressed Laminated Platesp. 475
Dynamic Behaviour of Fibre Reinforced Circular Cylinders and Shellsp. 481
Aspects of Chaotic Response of an Elastic-Plastic Beam to Impulsive Loadingp. 487
Secondary Instability of a Pre-stressed Elastic Platep. 493
Symposium Contributions to be Published Elsewherep. 499
List of Participantsp. 500
Indexp. 509
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792335948
ISBN-10: 0792335945
Series: Solid Mechanics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 520
Published: 31st August 1995
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 3.02
Weight (kg): 0.93

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