International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 4, No. 1, 2003

CONTENTS

Numerical Modeling of the Interactions between Circular/Elliptic/Line Inhomogeneities Embedded in a Matrix

C. Yang, A.-K. Soh, K.-H. Hoon ............ 1

Variational Inequalities and the Continuum Model of Transportation Problem

P. Daniele, G. Idone, A. Maugeri ............ 11

Numerical Simulation of Powder Compaction Processes Using an Endochronic Theory in Finite Plasticity Model

A.R. Khoei, A. Bakhshiani, M. Mofid ............ 17

Modelling of Localized Plastic Deformation via the Adaptive Mesh Refinement

A.R. Khoei, S.A. Gharehbaghi ............ 31

Advances in Research on Electromagnetic Heating Effects to Stop Crack Propagation in Metal Components

X.-Z. Bai, Y.-M. Fu, H.-H. Zhang ............ 47

Temperature Field Around Crack Tip in a Current-Carrying Plate under the Repeated Action of Pulse Current

X.-Z. Bai, Y.-M. Fu, Y.-D. Hu, L.-J. Zheng ............ 59

ODE-solvers for a Stiff System Arising in the Modeling of the Electrical Activity of the Heart

J. Sundnes, G.T. Lines, A. Tveito ............ 67

A Three-Dimensional Constitutive Model for Shape Memory Alloys

Y. Wang, D. Fang ............ 81

Lie Group Integration for Generalized Hamiltonian System with Dissipation

S.-Y. Zhang, Z.-C. Deng ............ 89

Lie and Lagrange Series in Nonlinear Equations with Controlled Evolution

A. Di Bartolomeo, J. Quartieri, S. Steri ............ 95

Groebner’s Integration of a Special Class of Nonlinear Cauchy Problems

M. Guida, J. Quartieri, S. Steri ............ 99

A Class of Nonlinear Implicit Cauchy Problems Integrated by Groebner’s Method

A.Di Bartolomeo, J. Quartieri, S. Steri ............ 103