During the seventeenth century, several useful theories of elastic structures emerged, with applications to civil and mechanical engineering problems. Recent and improved mathematical tools have extended applications into new areas such as mathematical physics, geomechanics, and biomechanics. This book offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures that are used to solve practical problems with particular emphasis on nonlinear problems.
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Book Description
Editorial Reviews
Review
"One can classify this book as one with a complete coverage of existing models of elastic structures...It definitely is a valuable reference book for researchers in the field of structural mechanics..." Applied Mechanics Reviews
"The general opinion of this reviewer is that Villaggio's book is valuable and that it will constitute an important reference in the years to come." SIAM Review
"The general opinion of this reviewer is that Villaggio's book is valuable and that it will constitute an important reference in the years to come." SIAM Review
Book Description
Elastic structures, conceived as slender bodies able to transmit loads, have been studied intensely since the seventeenth century. Theories of elastic structures are useful in many civil and mechanical engineering applications.This book offers a critically filtered collection of the most significant theories dealing with elastic slender bodies and the mathematical models that have been developed over time. It also shows how these models are used to solve practical problems involving elastic structures particularly nonlinear problems. Chapters progress from simpler to more complicated structures, including rods, strings, membranes, plates, and shells.
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Most Helpful Customer Reviews
2 of 3 people found the following review helpful:
2.0 out of 5 stars
A review of papers on modern theories of structures,
By A Customer
This review is from: Mathematical Models for Elastic Structures (Hardcover)
This is a compendium of the recent research literature on mathematical methods in structural mechanics. Judging by the bibiograpghy, the author himself has contributed nothing or next to nothing to this subject, leaving the informed reader wondering why he chose to write this particular book. The expert reader familiar with the literature will notice the author's overly strong reliance on the literal texts of research papers, to the extent that the style and even notation vary from one section to another. Thus the book reads like a superficial transcription of the work of others. The author has made little or no effort to synthesize the literature into a coherent exposition. This is a particular disappointment given the author's strong reputation as a researcher. Thus, what emerges is a rather disjoint and haphazard review of the works of those papers which the author finds appealing, without any sign of a common theme nor any hint of discernment. The book stands in stark contrast to a number of excellent and thoughtful monographs written by those who have actually contributed to the subject. Those who know the author's excellent research papers in other fields of Mechanics will feel sorely disppointed.
0 of 2 people found the following review helpful:
1.0 out of 5 stars
Do not buy this book,
By A Customer
This review is from: Mathematical Models for Elastic Structures (Hardcover)
This book is very expensive and contains classical theories mixed with a lot of useless mathematics; absolutely not recomended to everybody.
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Inside This Book
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First Sentence:
Mechanics studies the conditions for the motion and equilibrium of natural objects. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
strained central line, strained axis, semilinear theory, linearized criterion, compressive solutions, unit reference length, undeformed membrane, unbuckled state, meridional curve, deformed middle surface, resultant contact force, deformed axis, unstrained configuration, generalized plane stress, planar plate, couple resultants, buckled states, undeformed surface, initial twist, constitutive quantities, strongest column, strained surface, stress resultants, curved membranes, helical strip Key Phrases - Capitalized Phrases (CAPs): (learn more)
James Bernoulli, Theories of Plates, Director Approach, Inverse Problems New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Mechanics studies the conditions for the motion and equilibrium of natural objects. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
strained central line, strained axis, semilinear theory, linearized criterion, compressive solutions, unit reference length, undeformed membrane, unbuckled state, meridional curve, deformed middle surface, resultant contact force, deformed axis, unstrained configuration, generalized plane stress, planar plate, couple resultants, buckled states, undeformed surface, initial twist, constitutive quantities, strongest column, strained surface, stress resultants, curved membranes, helical strip Key Phrases - Capitalized Phrases (CAPs): (learn more)
James Bernoulli, Theories of Plates, Director Approach, Inverse Problems New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 17
books:
See all 17 books this book cites
4
books
cite this book:
- Methods of Mathematical Physics, Vol. 1 by Richard Courant in Back Matter
- Theory of Elasticity (McGraw-Hill Classic Textbook Reissue Series) by S. Timoshenko in Back Matter
- Nonlinear Elasticity by J. Stoker in Back Matter
- The Elements of Continuum Mechanics by Clifford A. Truesdell in Back Matter
- Partial Differential Equations (Ams/Ip Studies in Advanced Mathematics, V. 6) by Harold Levine in Back Matter
See all 17 books this book cites
- Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions by Isaac Elishakoff in Back Matter
- Nonlinear Problems of Elasticity (Applied Mathematical Sciences) by Stuart Antman in Back Matter
- Advances in Applied Mechanics, Volume 38 by Erik van der Giessen on page 93
- Theory of Shells, Volume III (Studies in Mathematics and Its Applications) by UNKNOWN AUTHOR in Back Matter
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