Viscoelastic Structures covers the four basic problems in the mechanics of viscoelastic solids and structural members: construction of constitutive models for the description of thermoviscoelastic behavior of polymers; mathematical modeling of manufacturing advanced composite materials; optimal-design of structural members and technological processes of their fabrication; and stability analysis for thin-walled structural members driven by time-varying loads. This book familiarizes the reader with state-of-the-art mathematical models for advanced materials and processes, and demonstrates their applications in modeling and simulating specific manufacturing processes. Viscoelastic Structures also demonstrates the effects of material, geometrical, and technological parameters on the characteristic features of viscoelastic structures.
1Presents state-of-the-art mathematical models and methods which serve for the analysis of advanced technological processes 1Includes numerous examples to demonstrate theory which have not been included in previous literature 1Employs one consistent, user-friendly method to study a number of technological processes 1Features unique approach to aging materials 1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients
Researchers and practitioners in mechanical, civil, and chemical engineering; applied mathematicians; graduate students in these areas.
(Chapter Headings) Kinematics of Continua. Constitutive Models in Linear Viscoelasticity. Nonlinear Constitutive Models with Infinitesimal Strains. Nonlinear Constitutive Models with Finite Strains. Constitutive Relations for Thermoviscoelastic Media. Accretion of Aging Viscoelastic Media with Finite Strains. Accretion of Viscoelastic Media with Infinitesimal Strains. Optimization Problems for Growing Viscoelastic Media. Subject Index.
- No. of pages:
- © Academic Press 1998
- 30th December 1997
- Academic Press
- eBook ISBN:
Aleksey Drozdov is a Professor in the Institute for Industrial Mathematics at the Ben-Gurion University of the Negev, Be'ersheba, Israel. He is a member of the Israel Mathematical Society and the New York Academy of Sciences. Dr. Drozdov received an M.S. degree in Mechanical Engineering from the Moscow University, a Ph.D. degree in Applied Mathematics from the Moscow University, and a D.S. degree in Mechanical Engineering from the Academy of Sciences of the USSR. He is the author of five books and more than 100 papers in the field of continuum mechanics and stability theory.
Ben-Gurion University of the Negev