Variational Methods in the Mechanics of Solids. Proceedings of the IUTAM Symposium on Variational Methods in the Mechanics of Solids Held at Northwestern University, Evanston, Illinois, U.S.A., 11–13 September 1978

Content: 
Other Pergamon Titles of Interest, Page ii
Front Matter, Page iii
Copyright, Page iv
PREFACE, Page v, S. Nemat-Nasser, K. Washizu
SCIENTIFIC PROGRAM, Pages xiii-xvi
LIST OF PARTICIPANTS, Pages xvii-xxii
Remarks on Some Asymptotic Problems in Composite and in Perforated Materials, Pages 3-19, J.L. Lions
Mathematical and Computational Methods in Plasticity, Pages 20-28, G. Strang, H. Matthies, R. Temam
New Variational Irreversible Thermodynamics of Open Physical-Chemical Continua, Pages 29-39, M.A. Biot
SESSION A - COMPOSITES; EIGENVALUE PROBLEMS, Page 43, G.M.L. Gladwell
Macroscopic Behavior of Elastic Material with Periodically Spaced Rigid Inclusions, Pages 45-51, F. Léné
Variational Methods for Eigenvalue Problems in Composites, Pages 52-58, C.O. Horgan, S. Nemat-Nasser
Relationships Between Derivations of the Overall Properties of Composites by Perturbation Expansions and Variational Principles, Pages 59-66, J.R. Willis
Stabilization of the Lanczos Method and its Application to Structural Vibration, Pages 67-74, M. Geradin
Theory of Connectivity. A Unified Approach to Boundary Methods, Pages 77-82, I. Herrera
On Direct Discrete Methods and Their Application to Mechanics, Pages 83-94, E.R.de Arantes e Oliveira
Dependence of Solutions of Operator Equations of Mechanics on Design Variations, Pages 95-97, E.J. Haug
A Minimum Principle in Nonlinear Dynamics of Hardening Rigid-Plastic Bodies, Pages 98-102, H. Stolarski
Bounds for the Shear Center Coordinates of Prismatic Beams, Pages 105-114, S. Nair
Finite Deformation of Elastic Beams, Pages 115-120, P.M. Pinsky, R.L. Taylor, K.S. Pister
Generalization of the Hypercircle Method and Pointwise Error Bounds in Nonlinear Elasticity, Pages 121-126, H. Stumpf
Complementary Theorems of Solid Mechanics, Pages 127-135, G. Wempner
Stability Analysis of Structural Elastic Systems, Pages 136-138, M. Como, A. Grimaldi
Principle of Least Action and its Complementary Form, Pages 139-141, B. Tabarrok
Some Applications of Invariant Variational Principles in Mechanics of Solids, Pages 145-150, G. Herrmann
On Variational Principles for Non-Conservative Mechanical Systems with Follower Forces, Pages 151-155, H.H.E. Leipholz
General Use of the Lagrange Multiplier in Nonlinear Mathematical Physics, Pages 156-162, M. Inokuti, H. Sekine, T. Mura
Complementary Energy and Catastrophes, Pages 163-168, M.J. Sewell
A Study on the Geometrically Nonlinear Behavior of Beam Structures Using a Mixed Finite Element Procedure, Pages 169-174, D. Karamanlidis, K. Knothe, O. Tsuzuki
A Note on the Principle of Stationary Complementary Energy in Nonlinear Elasticity, Page 175, K. Washizu
SESSION E - FINITE ELEMENTS, Page 179, Theodore H.H. Pian
A New Discrete Element and its Variational Formulation, Pages 181-186, T. Kawai
Admissible and Inadmissible Simplifications of Variational Methods in Finite Element Analysis, Pages 187-198, E. Haugeneder, H.A. Mang
Incremental Finite Element Methods for Geometrically Nonlinear Elasto-Visco-Plastic Solids, Pages 199-204, K.-D. Klee, E. Stein
A Variational Approach to the Stability Analysis of Non-Gradient Discrete Systems, Pages 205-207, S. Athel, M.S.El Naschie
On the Monotony and the Convergence of a Special Class of Hybrid Finite Elements: The Mongrel Elements, Pages 208-213, Nguyen Dang Hung
Some Considerations on Accuracy of Arch Elements, Pages 214-217, Y. Yamamoto, H. Ohtsubo
Elastic-Plastic Torsion of Heterogeneous Cylindrical Bars, Pages 221-226, H. Lanchon, D. Cioranescu, J.Saint Jean Paulin
Homogenization Results for a Class of Nonlinear Stationary Diffusion Problems, Pages 227-231, M. Artola, G. Duvaut
SESSION G - FRACTURE, CONTACT, AND VARIATIONAL INEQUALITIES, Page 235, E.A. Saibel
On the Dynamic Deformation of a Bar Against an Obstacle, Pages 237-241, C. Do
Numerical Contact Elastostatics, Pages 242-248, J.J. Kalker
Variational Methods for Analysis of Stability of Interacting Cracks, Pages 249-253, S. Nemat-Nasser
Normal Dissipativity and Energy Criteria in Fracture, Pages 254-259, Nguyen Quoc Son
Use of Variational Methods for the Analysis of Contact Problems in Solid Mechanics, Pages 260-264, J.T. Oden, N. Kikuchi
Remarks on the Convergence of a Mixed Finite Element Method in Linear Elasticity, Pages 265-268, L. Ascione, A. Grimaldi
SESSION H - PLASTICITY I, Page 271, J. Chandra
Periodic Solutions in Plasticity and Viscoplasticity, Pages 273-277, B. Halphen
Variational Methods for Problems in Rigid-Plastic Structural Dynamics, Pages 278-285, J.B. Martin
Convergence to a Periodic Solution in Elastic Perfectly Plastic Structures, Pages 286-290, C. Johnson, B. Mercier, J.C. Nédelec
A Geometrical Facet of the Theory of Dislocations and Disclinations in a Cosserat Continuum, Pages 291-295, S. Minagawa
Minimum Theorems Concerning Cauchy and Periodic Problems for Maxwell Body, Pages 296-303, B.J.P. Nayroles
Existence and Regularity of Solutions for Plasticity Problems, Pages 304-309, P-M. Suquet
Variational Principles and Methods for Viscoelastic Plates and Shells, Pages 313-317, J. Brilla
Optimal Strain Paths in Linear Viscoelasticity: The Effect of the Past History, Pages 318-321, M.E. Gurtin, L.F. Murphy
Variational Methods in Creep Buckling of a Circular Cylindrical Shell with Varying Wall Thickness, Pages 322-326, M.M. Kozarov, P.T. Kolev
An Existence and Stability Theorem in Nonlinear Viscoelasticity, Pages 327-331, M. Potier-Ferry
SESSION J - OPTIMIZATION; PLASTICITY, Page 335, Niels Olhoff
Singular Solutions in Structural Optimization Problems, Pages 337-343, E.F. Masur, Z. Mróz
Optimal Control in the Theory of the Unilateral Von-Kármán-plates, Pages 344-348, P.D. Panagiotopoulos
Some Optimization Problems of Contact Bodies Within the Linear Theory of Elasticity, Pages 349-356, I. Páczelt
An Application of Optimal Structural Remodeling, Pages 357-358, J.E. Taylor
SESSION K - PLASTICITY II, Page 361, E.H. Lee
Rate Complementary Energy Principles; Finite Strain Plasticity Problems; and Finite Elements, Pages 363-367, S.N. Atluri
A Simple Convex Stress Rate-Strain Rate Relation in Plasticity not Relying on the Yield Surface Concept, Pages 368-373, J. Christoffersen
On the Application of a Variational Principle for Large-Displacement Elastic-Plastic Problems, Pages 374-377, K.W. Neale
SESSION L - FLOW, VISCOELASTICITY, AND PLASTICITY, Page 381, H. Bufler
Variational Formulation in Finite Deformation Elasto-Plasticity with Large Increments and Discontinuous Fields, Pages 383-386, M. Kleiber
A Variational Basis for “Upwind” Finite Elements, Pages 387-391, T.J.R. Hughes, J.D. Atkinson
A Variational Principle for Visco-Elastic Memory Fluids and its Use in Finite Element Analysis of Steady Flows, Pages 392-399, B. Bernstein, D.S. Malkus
On Minimum Principles in Plasticity, Pages 400-403, P. Rafalski
Index of Contributors, Pages 405-406