Advances in Continuum Mechanics and Thermodynamics of Material Behavior

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Author: Donald E. Carlson

ISBN-10: 0792369718

ISBN-13: 9780792369714

Category: Materials Science - General & Miscellaneous

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The papers included in this volume were presented at the Symposium on Advances in the Continuum Mechanics and Thermodynamics of Material Behavior, held as part of the 1999 Joint ASME Applied Mechanics and Materials Summer Conference at Virginia Tech on June 27-30, 1999. The Symposium was held in honor of Professor Roger L. Fosdick on his 60th birthday. The papers are written by prominent researchers in the fields of mechanics, thermodynamics, materials modeling, and applied mathematics. They address open questions and present the latest development in these and related areas. This volume is a valuable reference for researchers and graduate students in universities and research laboratories.

In Recognition of the Sixtieth Birthday of Roger L. Fosdick1Roger L. Fosdick3Publications of Roger L. Fosdick5On Invariance Groups for Equilibrium Theories9Derivation of Plate and Rod Equations for a Piezoelectric Body from a Mixed Three-Dimensional Variational Principle23Geometric Effects in an Elastic Tensegrity Structure51Theory for Atomic Diffusion on Fixed and Deformable Crystal Lattices67On the Existence of Minimizers with Prescribed Singular Points in Nonlinear Elasticity83Feedback Linearization and Semilinearization for Smart Elastic Structures115Slip Bands and Stress Oscillations in Bars131Two Micromechanical Models in Acoustoelasticity: a Comparative Study145Constitutive Functions of Elastic Materials in Finite Growth and Deformation175Toughening by Phase Boundary Propagation195Finite Amplitude Transverse Waves in Special Incompressible Viscoelastic Solids213On Infinitesimal Shear227Reflection and Refraction of Anti-Plane Shear Waves from a Moving Phase Boundary237Microstructure in a Cubic to Orthorhombic Transition267Finite Scale Microstructures in Nonlocal Elasticity319Optimal Design Problems for Elastic Bodies by Use of the Maximum Principle357The Mullins Effect in a Pure Shear369The Compatibility Constraint in Linear Elasticity393Pressurized Shape Memory Thin Films399