This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Mathematical elasticity (Studies in mathematics and its applications)

Science & Math

Philippe G. Ciarlet

Mathematics

Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co

This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Three-Dimensional Elasticity (Volume 20) (Studies in Mathematics and its Applications, Volume 20)

North-Holland

An Introduction to Differential Geometry with Applications to Elasticity

An Introduction to Differential Geometry with Applications to Elasticity

CreateSpace Independent Publishing Platform

This self-contained textbook covers the fundamentals of two basic topics of linear functional analysis: locally convex spaces and harmonic analysis. Readers will find detailed introductions to topological vector spaces, distribution theory, weak topologies, Fourier transform, Hilbert transform, and Calderon-Zygmund singular integrals. An ideal introduction to more advanced texts, the book complements Ciarlet’s Linear and Nonlinear Functional Analysis with Applications (SIAM), where the titular topics were not treated. Pedagogical features such as detailed theorems and 93 problems make the book ideal for a one-semester first-year graduate course or for self-study. The book is intended for advanced undergraduates and first-year graduate students and researchers. It is appropriate for the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory

Locally Convex Spaces and Harmonic Analysis: An Introduction

Physics

SIAM: Society for Industrial and Applied Mathematics

The first book of a three-volume set, Three-Dimensional Elasticity covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. It includes the known existence theorems, either via the implicit function theorem or via the minimization of the energy (John Ball’s theory). An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.

Mathematical Elasticity, Volume I: Three-Dimensional Elasticity

The Mathematical Elasticity set contains three self-contained volumes that together provide the only modern treatise on elasticity. They introduce contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells. Each volume contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. An extended preface and extensive bibliography have been added to each volume to highlight the progress that has been made since the original publication. The first book, Three-Dimensional Elasticity, covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. In volume two, Theory of Plates, asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. The objective of Theory of Shells, the final volume, is to show how asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear shell theories: membrane, generalized membrane, and flexural. These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.

Mathematical Elasticity, Volume II: Theory of Plates

Mathematical Elasticity, Volume III: Theory of Shells

Mathematical Elasticity, Volumes I–III

This book gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a self-contained and accessible manner. Although the field is often considered a classical one, it has recently been rejuvenated, thanks to the manifold applications where it plays an essential role.  The book presents some important applications to shells, such as the theory of linearly and nonlinearly elastic shells, the implementation of numerical methods for shells, and mesh generation in finite element methods.  This volume will be very useful to graduate students and researchers in pure and applied mathematics.  Contents: An Introduction to Differential Geometry in 3 (P G Ciarlet); An Introduction to Shell Theory (P G Ciarlet & C Mardare); Some New Results and Current Challenges in the Finite Element Analysis of Shells (D Chapelle); A Differential Geometry Approach to Mesh Generation (P Frey).

Differential Geometry: Theory and Applications (Contemporary Applied Mathematics)

World Scientific Publishing Company

See the best price to sell, buy, or rent books by Philippe G. Ciarlet. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Philippe G. Ciarlet

See the best price to sell, buy, or rent books by Philippe G. Ciarlet. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Mathematical elasticity (Studies in mathematics and its applications)

Three-Dimensional Elasticity (Volume 20) (Studies in Mathematics and its Applications, Volume 20)

An Introduction to Differential Geometry with Applications to Elasticity

Locally Convex Spaces and Harmonic Analysis: An Introduction

Mathematical Elasticity, Volume I: Three-Dimensional Elasticity

Mathematical Elasticity, Volume II: Theory of Plates

Mathematical Elasticity, Volume III: Theory of Shells

Mathematical Elasticity, Volumes I–III

Differential Geometry: Theory and Applications (Contemporary Applied Mathematics)