
As an Amazon Associate and affiliate partner, Menrva Books earns from qualifying purchases. Learn more
This volume contains the contributions presented at the IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics, held in Paris, France, 22-25 April, 1997. In solid mechanics, free-boundary problems are relevant in a large variety of subjects such as optimization, optimal control, phase transition, metal casting, solidification and melting, stability analysis, inverse problems, propagating surface of discontinuity etc., and they raised interesting discussions in the past and recent literature. Although the physics behind these phenomena is immense, the mathematical analyses often present many common features. The three aspects - mechanical modelling, mathematical formulation and numerical resolution - are the outstanding points of this book. It gives a review of the state of the art in free-boundary problems for research engineers and researchers in applied mechanics and applied mathematics. The originality of this book is that it is solid mechanics oriented, whereas other books published in the same field are mathematics oriented.
This volume presents a collection of research papers focusing on the intricate challenges of domain variations and free-boundary problems within the field of solid mechanics. The book addresses a wide array of applications including optimization, optimal control, phase transitions, metal casting, solidification, melting, stability analysis, inverse problems, and the propagation of discontinuities. It highlights the common mathematical features underlying these diverse physical phenomena, bridging mechanical modeling, mathematical formulation, and numerical resolution.
This collection is presented as a review of the state-of-the-art in free-boundary problems for research engineers and applied mathematicians. Its stated originality lies in its solid mechanics orientation, distinguishing it from more mathematics-focused texts in the field. The book aims to provide a comprehensive overview of the mechanical modeling, mathematical formulation, and numerical resolution aspects of these complex problems.
Page Count:
340
Publication Date:
1999-01-01
ISBN-10:
9401059926
ISBN-13:
9789401059923
No comments yet. Be the first to share your thoughts!