Thermomechanics of Viscoplasticity: Fundamentals and Applications / Edition 1

by Milan Micunovic

Overview

As any human activity needs goals, mathematical research needs problems. —David Hilbert Mechanics is the paradise of mathematical sciences. —Leonardo da Vinci Mechanics and mathematics have been complementary partners since N- ton’s time, and the history of science shows much evidence of the beneficial influence of these disciplines on each other. Driven by increasingly ela- rate modern technological applications, the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a duality gap between the partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multidisciplinary publications that fall into the two f- lowing complementary categories: 1. An annual book dedicated to the latest developments in mechanics and mathematics; 2. Monographs, advanced textbooks, handbooks, edited volumes, and selected conference proceedings. The AMMA annual book publishes invited and contributed compreh- sive research and survey articles within the broad area of modern mechanics and applied mathematics. The discipline of mechanics, for this series, includes relevantphysicalandbiologicalphenomenasuchas:electromagnetic,thermal, viii Series Preface and quantum effects, biomechanics, nanomechanics, multiscale modeling, - namical systems, optimization and control, and computation methods. - pecially encouraged are articles on mathematical and computational models and methods based on mechanics and their interactions with other fields. All contributions will be reviewed so as to guarantee the highest possible scientific standards. Each chapter will reffect the most recent achievements in the area.

Product Details

ISBN-13:	9780387894898
Publisher:	Springer New York
Publication date:	04/28/2009
Series:	Advances in Mechanics and Mathematics , #20
Edition description:	2009
Pages:	249
Product dimensions:	6.30(w) x 9.30(h) x 0.70(d)

Table of Contents

Theoretical and Experimental Aspects.- Physical and Geometrical Background.- Crystalline Materials with Thermo-inelastic Memory.- Normality Rule? Plastic Work Extremals and Related Topics.- Thermodynamics of Inelasticity.- Some Multiaxial Viscoplastic Experiments: Relation to Tensor Functions.- Some General Problems.- Viscoplasticity of Ferromagnetics.- Self-Consistent Method and Quasi-Rate-Dependent Polycrystals.- Inelastic Micromorphic Polycrystals.- Applications of the Theory.- Plastic Wave Propagation in Hopkinson Bar.- Ratchetting Phenomenon at Low Strain Rates for AISI.- Stress and Strain Measures for Orthotropic Metals at Large Nonproportional Plastic Strain Histories.

Editorial Reviews

From the reviews: “This book exposes in a concise manner the essentials of the modern theory of viscoplasticity in relation with its basic thermomechanical foundations … . In that sense the book represents a true … contribution to the field. … addresses professionals or younger readers (graduate students, PhDs, research engineers) who want to apprehend a difficult subject matter that pertains to both continuum mechanics … and its applications in materials science. … It is generally well and concisely written and … generously documented.” (Gérard A. Maugin, Mathematical Reviews, Issue 2010 c)

From the Publisher