Iutam Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics

Name: Iutam Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics
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ISBN: 9780792335948

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)

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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.

Preface
Foreword
Optimization of Direct Biaxial Testing of Anisotropic Materials	p. 3
Anisotropy and Proper States of Materials	p. 19
Characterising a 2D Elasticity Tensor by Two Orientation Distribution Functions	p. 25
The Mirror Symmetries of Anisotropic Elasticity	p. 31
Integrity Bases for a Fourth-rank Tensor	p. 37
On Anisotropy at the Actual Configuration and the Adequate Formulation of a Free Energy Function	p. 43
A Continuum Model for Induced Anisotropy with Application to Natural Ice	p. 51
On the Roles of Initial and Induced Anisotropies	p. 57
Higher Grade Material Structures	p. 63
Local Atomic Level Elastic Moduli of Surface Regions	p. 69
Description of Finite Plastic Deformations in Single Crystals by Material Isomorphisms	p. 77
Modelling of Textured Materials	p. 91
Sensitivity Analysis of Fibre-reinforced Composites with Interphase Unilateral Constraints	p. 97
Effective Local Properties for Modelling of Functionally Graded Composite Materials	p. 103
A Dislocation Solution for a Nonlinear Material with a Yield Stress	p. 109
The Application of Hyperelastic and Rate Dependent Models to the Multiaxial Deformation of Polymers	p. 115
Squeezing Flow of Fibre-reinforced Viscoelastic Composites	p. 121
Nonlinear Thermo-visco-elastic Behaviour	p. 127
Damped Periodic Fluctuations in Certain Smectic Liquid Crystals	p. 133
Dynamic Flow Localization in Plane-Strain Blocks Obeying a Thermo-elasto-viscoplastic Constitutive Equation	p. 141
Numerical and Experimental Assessment of the Size and Boundary Conditions Effects for the Overall Properties of Granular Composite Bodies Smaller than the Representative Volume	p. 149
Out-of-plane Deformation in Laminated Sheet Metals	p. 155
A New Model of Nonlinear Dynamic Creep	p. 161
Double-shearing Theory for Dilatant Granular Materials	p. 169
Equations Governing Plane Plastic Deformation in Anisotropic Materials	p. 183
Bounds for the Effective Yield Surface of Polycrystals	p. 191
Analysis of the Influence of Anisotropy Effects on Adiabatic Shear Band Localization Phenomena	p. 201
An Analytical Investigation of Inhomogeneous Straining, Subgrain Formation, and the Initiation of Microshear Bands in Bicrystals	p. 211
On the Stability of Shear Bands	p. 217
Phase Inhomogeneities in Deformed Superalloy Single Crystals: Numerical Estimates	p. 223
Material Symmetry in Solid Crystals	p. 229
On the Volume Changes of Granular Materials and their Consequences for Plasticity Theory	p. 235
Dynamic Deformations in the Theory of Fluid-saturated Porous Solid Materials	p. 241
Fracturing in Anisotropic Solids	p. 249
Analysis of Anomalous Microcrack Growth in a Brittle Porous Material Prior to Compression Failure	p. 263
Influence of Subcritical Propagation of Initial Flaws on the Reliability of Brittle Structures	p. 269
Effect of Dynamic Strain Ageing and Portevin-le-Chatelier Instabilities on the Tearing Failure of 2091 Al-Li Sheets	p. 275
Modelling of Semi-brittle Ceramics Behaviour under a Quasi-static Deformation Process	p. 281
Interactions between Cracks and Inclusions	p. 287
Multi-fracture Processes in Ceramic Composites	p. 293
Three-dimensional Buckling Analysis of Orthotropic Cylinders Subjected to Thermo-mechanical Loading	p. 299
3-D Elastodynamic Green's Functions for BEM Applications to Anisotropic Solids	p. 307
Green's Functions for an Anisotropic Elliptic Inclusion under Antiplane Deformations	p. 321
Boundary Layer Problem in a Piezoelectric Composite	p. 327
Relaxed Energy Densities for Anisotropic Membranes	p. 333
Qualitative Estimates for Laminate-like Elastic Materials	p. 339
Configurational Forces and Coherent Phase-transition Fronts in Thermoelastic Solids	p. 345
The Formulation of Constitutive Equations for Anisotropic Materials with Different Behaviour in Tension and Compression	p. 351
An Application of the IFRM Theory to Evaluation of Interlaminar Shear Stresses in a Fibre-reinforced Laminate	p. 359
Ideal Fibre-reinforced Materials and the Deformation of Real Composites	p. 371
Constitutive Equation for a Fiber-reinforced Lamina	p. 379
Elastic and Elastic-plastic Deformations of Ideal Fibre-reinforced Materials	p. 385
Micro-mechanics of a Segmented Embedded Fibre	p. 391
A One-dimensional Discrete Model of a Nanolayered Structure	p. 397
Morphological n-Layered Cylindrical Pattern-based Micromechanical Modelling	p. 403
Upper and Lower Bounds for the Overall Properties of a Nonlinear Elastic Composite	p. 409
Effective Yield Surfaces for Anisotropic Composite Materials	p. 415
Waves in Dissipative Anisotropic Solids	p. 425
Inhomogeneous Plane Waves in Anisotropic Elastic Materials	p. 431
Interfacial Phonons and the Existence of Elastic Interfacial Waves	p. 437
Nonlinear Waves in Soils and Rocks	p. 443
Surface Motion of Anisotropic and Inhomogeneous Alluvial Valleys under Incident Plane SH Waves	p. 449
Some New Ideas in the Theory of Surface Acoustic Waves in Anisotropic Media	p. 455
Nonlinear Surface Waves Travelling over a Corrugated Elastic Half-space	p. 463
Wave Propagation in Periodically Layered Elastic and Electroelastic Media	p. 469
Waves in Pre-stressed Laminated Plates	p. 475
Dynamic Behaviour of Fibre Reinforced Circular Cylinders and Shells	p. 481
Aspects of Chaotic Response of an Elastic-Plastic Beam to Impulsive Loading	p. 487
Secondary Instability of a Pre-stressed Elastic Plate	p. 493
Symposium Contributions to be Published Elsewhere	p. 499
List of Participants	p. 500
Index	p. 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
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6 x 3.02
Weight (kg): 0.93