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Advances in Mechanics and Mathematics: Volume II
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Catalogue Information
Field name
Details
Dewey Class
531
Title
Advances in Mechanics and Mathematics ([EBook]) : Volume II / edited by David Y. Gao, Ray W. Ogden.
Added Personal Name
Gao, David Yang
Ogden, Ray W.
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : Springer US , 2003.
Physical Details
XVIII, 314 pages : online resource.
Series
Advances in Mechanics and Mathematics
1571-8689 ; ; 4
ISBN
9781461302476
Summary Note
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 Newton's time and the history
of
science shows much evidence
of
the ben eficial influence
of
these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number
of
specialist journals has generated a du ality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications which fall into the two following complementary categories: 1. An annual book dedicated to the latest developments in mechanics and mathematics; 2. Monographs, advanced textbooks, handbooks, edited vol umes and selected conference proceedings. The AMMA annual book publishes invited and contributed compre hensive reviews, research and survey articles within the broad area
of
modern mechanics and applied mathematics. Mechanics is understood here in the most general sense
of
the word, and is taken to embrace relevant physical and biological phenomena involving electromagnetic, thermal and quantum effects and biomechanics, as well as general dy namical systems. Especially 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.:
Contents note
1 Fracture Mechanics
of
Functionally Graded Materials -- 1 Introduction -- 2 Mechanics Models -- 3 Crack Tip Mechanics -- 4 Stress Intensity Factor Solutions -- 5 Fracture Toughness and Crack Growth Resistance Curve -- 6 Thermofracture Mechanics -- 7 Stationary Cracks in Viscoelastic FGMs -- 8 Fracture Dynamics -- 9 Fracture Simulation Using a Cohesive Zone Model -- 10 Concluding Remarks -- References -- 2 Topics in Mathematical Analysis
of
Viscoelastic Flow -- 1 Introduction -- 2 High Weissenberg number asymptotics -- 3 Instabilities in viscoelastic flows -- 4 Breakup
of
viscoelastic jets -- References -- 3 Selected Topics in Stochastic Wave Propagation -- 1 Basic Methods in Stochastic Wave Propagation -- 2 Towards Spectral Finite Elements for Random Media -- 3 Waves in Random 1-D Composites -- 4 Transient Waves in Heterogeneous Nonlinear Media -- 5 Acceleration Wavefronts in Nonlinear Media -- 6 Closure -- References -- 4 Periodic Soliton Resonances -- 1 Introduction -- 2 N-periodic soliton solutions to the KP equation with positive dispersion -- 3 Periodic soliton resonances I: solutions to the KP equation with positive dispersion -- 4 Periodic soliton solutions to the DS I equation -- 5 Periodic soliton resonances II: solutions to the DSI equation -- 6 Soliton stability theory due to periodic soliton resonance solution -- 7 Summary -- References -- 5 Nonconvex Semi-Linear Problems and Canonical Duality Solutions -- 1 Nonconvex Problems and New Phenomena -- 2 Canonical Duality Theory: A brief Review -- 3 Canonical Dual Theory and Solutions -- 4 Applications to Unconstrained Global Optimization -- 5 Application to Constrained Quadratic Programming -- 6 Quadratic Programming Over a Sphere -- 7 Concluding Remarks -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4613-0247-6
Links to Related Works
Subject References:
Applied mathematics
.
Calculus
of
variations
.
Continuum Mechanics
.
Engineering mathematics
.
Mathematics
.
Mechanics
.
Mechanics - Mathematical models
.
Authors:
editor
.
Gao, David Yang
.
Ogden, Ray W.
.
Corporate Authors:
SpringerLink (Online service)
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Series:
Advances in Mechanics and Mathematics
.
Classification:
531
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.
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