Advances in Continuum Mechanics and Thermodynamics of Material Behavior : In Recognition of the 60th Birthday of Roger L. Fosdick

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. Front Matter....Pages i-vi In Recognition of the Sixtieth Birthday of Roger L. Fosdick....Pages 1-1 Roger L. Fosdick....Pages 3-4 Publications of Roger L. Fosdick....Pages 5-8 On Invariance Groups for Equilibrium Theories....Pages 9-22 Derivation of Plate and Rod Equations for a Piezoelectric Body from a Mixed Three-Dimensional Variational Principle....Pages 23-50 Geometric Effects in an Elastic Tensegrity Structure....Pages 51-65 Theory for Atomic Diffusion on Fixed and Deformable Crystal Lattices....Pages 67-81 On the Existence of Minimizers with Prescribed Singular Points in Nonlinear Elasticity....Pages 83-113 Feedback Linearization and Semilinearization for Smart Elastic Structures....Pages 115-130 Slip Bands and Stress Oscillations in Bars....Pages 131-143 Two Micromechanical Models in Acoustoelasticity: a Comparative Study....Pages 145-173 Constitutive Functions of Elastic Materials in Finite Growth and Deformation....Pages 175-193 Toughening by Phase Boundary Propagation....Pages 195-211 Finite Amplitude Transverse Waves in Special Incompressible Viscoelastic Solids....Pages 213-225 On Infinitesimal Shear....Pages 227-236 Reflection and Refraction of Anti-Plane Shear Waves from a Moving Phase Boundary....Pages 237-266 Microstructure in a Cubic to Orthorhombic Transition....Pages 267-318 Finite Scale Microstructures in Nonlocal Elasticity....Pages 319-355 Optimal Design Problems for Elastic Bodies by Use of the Maximum Principle....Pages 357-367 The Mullins Effect in a Pure Shear....Pages 369-392 The Compatibility Constraint in Linear Elasticity....Pages 393-398 Pressurized Shape Memory Thin Films....Pages 399-436