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Stability and Nonlinear Solid Mechanics
 
 
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Stability and Nonlinear Solid Mechanics [Hardcover]

Quoc Son Nguyen (Author)

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Book Description

0471492884 978-0471492887 September 7, 2000 1
Although the problem of stability and bifurcation is well understood in Mechanics, very few treatises have been devoted to stability and bifurcation analysis in dissipative media, in particular with regard to present and fundamental problems in Solid Mechanics such as plasticity, fracture and contact mechanics. Stability and Nonlinear Solid Mechanics addresses this lack of material, and proposes to the reader not only a unified presentation of nonlinear problems in Solid Mechanics, but also a complete and unitary analysis on stability and bifurcation problems arising within this framework. Main themes include:
* elasticity and plasticity problems in small and finite deformation
* general concepts of stability and bifurcation and basic results
* elastic buckling
* plastic buckling of structures
* standard dissipative systems obeying maximum dissipation.
These themes are developed in 20 chapters and illustrated by various analytical and numerical results. The coverage given here extends beyond the limited boundaries of previous works, resulting in a text of lasting interest and value to postgraduate students, researchers and practitioners working in mechanical, civil and aerospace engineering, as well as materials science.

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From the Back Cover

Although the problem of stability and bifurcation is well understood in Mechanics, very few treatises have been devoted to stability and bifurcation analysis in dissipative media, in particular with regard to present and fundamental problems in Solid Mechanics such as plasticity, fracture and contact mechanics. Stability and Nonlinear Solid Mechanics addresses this lack of material, and proposes to the reader not only a unified presentation of nonlinear problems in Solid Mechanics, but also a complete and unitary analysis on stability and bifurcation problems arising within this framework. Main themes include:
* elasticity and plasticity problems in small and finite deformation

* general concepts of stability and bifurcation and basic results

* elastic buckling

* plastic buckling of structures

* standard dissipative systems obeying maximum dissipation.

These themes are developed in 20 chapters and illustrated by various analytical and numerical results. The coverage given here extends beyond the limited boundaries of previous works, resulting in a text of lasting interest and value to postgraduate students, researchers and practitioners working in mechanical, civil and aerospace engineering, as well as materials science.

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Inside This Book (learn more)
First Sentence:
The objective of Mechanics is the description of the motion of matter. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
angular bifurcation, second variation criterion, bifurcated curve, plastic criterion, generalized standard model, slipping regime, active plastic zone, bifurcated branch, normality law, admissible rates, fundamental curve, generalized standard material, internal entropy production, intrinsic dissipation, perfect constraints, dissipation potential, implied displacements, discrete mechanical system, admissible forces, calcul des structures, limit modulus, solid submitted, inverse power method, tunnel crack, crack curve
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