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Advances in Mechanics and Mathematics - Volume II (2) - Gao, David Y (edited); Ogden, Ray W (edited)
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Gao, David Y (edited); Ogden, Ray W (edited):

Advances in Mechanics and Mathematics - Volume II (2) - Première édition

2003, ISBN: 1402076452

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[EAN: 9781402076459], Neubuch, [PU: Kluwer Academic Publishers, Boston, Dordrecht, London], ADVANCES IN MECHANICS AND MATHEMATICS - VOLUME II (2), 9781402076459, GAO, DAVID Y (EDITED); OG… Plus…

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Advances in Mechanics and Mathematics: Volume II - David Yang Gao
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Advances in Mechanics and Mathematics: Volume II - edition reliée, livre de poche

2003, ISBN: 1402076452

[EAN: 9781402076459], Neubuch, [PU: SPRINGER NATURE Okt 2003], SCIENCE; MATHEMATICS / APPLIED; CALCULUS; SCIENCE MECHANICS SOLIDS, Besorgungstitel Neuware - Rare Book Procurement - As any… Plus…

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Advances in Mechanics and Mathematics
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Advances in Mechanics and Mathematics - nouveau livre

ISBN: 9781402076459

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… Plus…

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Advances in Mechanics and Mathematics: Volume II (Advances in Mechanics and Mathematics, 4, Band 4)
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Advances in Mechanics and Mathematics: Volume II (Advances in Mechanics and Mathematics, 4, Band 4) - edition reliée, livre de poche

2003, ISBN: 9781402076459

Springer, Gebundene Ausgabe, Auflage: 2003, 332 Seiten, Publiziert: 2003-10-31T00:00:01Z, Produktgruppe: Buch, 0.73 kg, Maschinenbau, Ingenieurwissenschaften, Fachbücher, Kategorien, Büch… Plus…

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Advances in Mechanics and Mathematics - edition reliée, livre de poche

2003, ISBN: 1402076452

[EAN: 9781402076459], Nouveau livre, [SC: 10.15], [PU: Springer], pp. 336 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam, Books

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Advances in Mechanics and Mathematics: Volume II (Advances in Mechanics and Mathematics, 4, Band 4)

Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the beneficial 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 duality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge this gap. Audience: This book is suitable for scientists, engineers and mathematicians, including advanced students (doctoral and post-doctoral level) at universities and in industry interested in modern mechanics and applied mathematics.

Informations détaillées sur le livre - Advances in Mechanics and Mathematics: Volume II (Advances in Mechanics and Mathematics, 4, Band 4)


EAN (ISBN-13): 9781402076459
ISBN (ISBN-10): 1402076452
Version reliée
Livre de poche
Date de parution: 2003
Editeur: Yang Gao, David, Ogden, Raymond W. Springer
336 Pages
Poids: 0,712 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-10-30T18:00:29+01:00 (Paris)
Page de détail modifiée en dernier sur 2024-02-04T08:38:36+01:00 (Paris)
ISBN/EAN: 1402076452

ISBN - Autres types d'écriture:
1-4020-7645-2, 978-1-4020-7645-9
Autres types d'écriture et termes associés:
Auteur du livre: ogden, rubin, yang, gao, david hilbert
Titre du livre: mechanics volume, dada surrealism and their heritage, mathematics mechanics


Données de l'éditeur

Auteur: David Yang Gao; Raymond W. Ogden
Titre: Advances in Mechanics and Mathematics; Advances in Mechanics and Mathematics - Volume II
Editeur: Springer; Springer US
314 Pages
Date de parution: 2003-10-31
New York; NY; US
Poids: 0,730 kg
Langue: Anglais
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XVIII, 314 p.

BB; Classical Mechanics; Hardcover, Softcover / Physik, Astronomie/Mechanik, Akustik; Klassische Mechanik; Verstehen; applied mathematics; biomechanics; dynamics; elasticity; finite element method; fracture mechanics; material; materials; Mathematica; mathematics; mechanics; microstructure; microstructures; modeling; plasticity; Mathematics, general; Applications of Mathematics; Calculus of Variations and Optimal Control; Optimization; Solid Mechanics; Classical Mechanics; Mathematics; Applications of Mathematics; Calculus of Variations and Optimization; Solid Mechanics; Mathematik; Angewandte Mathematik; Optimierung; Maschinenbau: Festkörpermechanik; BC; EA

1 Fracture Mechanics of Functionally Graded Materials.- 1 Introduction.- 2 Mechanics Models.- 2.1 Mechanics Modeling.- 2.2 Elasticity Equations of FGMs.- 2.3 Effective Elastic Properties.- 3 Crack Tip Mechanics.- 3.1 Crack Tip Elastic Fields.- 3.2 K — Dominance.- 4 Stress Intensity Factor Solutions.- 4.1 Integral Transform/Integral Equation Method.- 4.2 Numerical Methods.- 5 Fracture Toughness and Crack Growth Resistance Curve.- 5.1 Fracture toughness Based on a Rule of Mixtures.- 5.2 Crack Growth Resistance Curve Based on a Crack Bridging Mechanism.- 5.3 Residual Strength.- 5.4 Crack Kinking under Mixed Mode Conditions.- 6 Thermofracture Mechanics.- 6.1 Heat Conduction Equations of FGMs.- 6.2 Thermoelasticity Equations of FGMs.- 6.3 A Heat Conduction Problem.- 6.3.1 A multi-layered material model.- 6.3.2 Interface temperatures for short times.- 6.3.3 A closed form solution of temperature field for short times.- 6.4 A Thermal Crack Problem.- 7 Stationary Cracks in Viscoelastic FGMs.- 7.1 Correspondence Principle.- 7.2 Relaxation Functions in Separable Form in Space and Time.- 7.3 Viscoelastic Crack Tip Fields.- 7.4 Stress Intensity Factors for FGMs with Variables Separable Relaxation Functions.- 8 Fracture Dynamics.- 8.1 Basic Equations.- 8.2 Stationary Cracks Subjected to Dynamic Loading.- 8.3 Crack Propagation.- 9 Fracture Simulation Using a Cohesive Zone Model.- 9.1 A Cohesive Zone Model.- 9.2 Plasticity of FGMs and Tamura-Tomota-Ozawa Model.- 9.3 Cohesive Elements.- 9.4 Calibration of Cohesive Fracture Parameters.- 9.5 Fracture Simulation.- 9.6 Effect of Peak Cohesive Traction for Ceramic Phase.- 10 Concluding Remarks.- References.- 2 Topics in Mathematical Analysis of Viscoelastic Flow.- 1 Introduction.- 2 High Weissenberg number asymptotics.- 2.1 The Euler equation.- 2.2 High Weissenberg number boundary layers.- 2.3 Flow near a reentrant corner.- 3 Instabilities in viscoelastic flows.- 3.1 Parallel shear flows.- 3.2 Shear flows with curved streamlines.- 3.3 Two-layer flows.- 3.4 Open mathematical questions.- 4 Breakup of viscoelastic jets.- 4.1 One-dimensional theory.- 4.2 The Newtonian case.- 4.3 Suppression of breakup.- 4.4 The Giesekus model.- 4.5 Elastic breakup.- 4.6 The role of inertia.- References.- 3 Selected Topics in Stochastic Wave Propagation.- 1 Basic Methods in Stochastic Wave Propagation.- 1.1 The long wavelength case.- 1.1.1 Elementary considerations.- 1.1.2 Series expansion.- 1.2 The short wavelength case — ray method.- 1.2.1 Fermat’s principle.- 1.2.2 Smooth inhomogeneity vis-à-vis local isotropy.- 1.2.3 Eikonal equation.- 1.2.4 Markov character of rays.- 1.3 The short wavelength case — Rytov method.- 2 Towards Spectral Finite Elements for Random Media.- 2.1 Spectral finite element for waves in rods.- 2.1.1 Deterministic case.- 2.1.2 Random case.- 2.2 Spectral finite element for flexural waves.- 2.2.1 Deterministic case.- 2.2.2 Random case.- 2.3 Observations and related work.- 3 Waves in Random 1-D Composites.- 3.1 Motion in an Imperfectly Periodic Composite.- 3.1.1 Random evolutions.- 3.1.2 Effects of imperfections on Floquet waves.- 3.2 Waves in randomly segmented elastic bars.- 4 Transient Waves in Heterogeneous Nonlinear Media.- 4.1 A class of models of random media.- 4.2 Pulse propagation in a linear elastic microstructure.- 4.3 Pulse propagation in nonlinear microstructures.- 4.3.1 Bilinear elastic microstructures.- 4.3.2 Nonlinear elastic microstructures.- 4.3.3 Hysteretic microstructures.- 5 Acceleration Wavefronts in Nonlinear Media.- 5.1 Microscale heterogeneity versus wavefront thickness.- 5.1.1 Basic considerations.- 5.1.2 Mesoscale response.- 5.2 Wavefront dynamics in random microstructures.- 5.2.1 Model with one white-noise.- 5.2.2 Model with two correlated Gaussian noises.- 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.- 3.1 Resonant interactions between two y-periodic solitons.- 3.2 Resonant interaction between line soliton and y-periodic soliton.- 3.3 Resonant interaction between algebraic soliton and y-periodic soliton.- 3.4 Resonant interaction between inclined line soliton and periodic soliton.- 4 Periodic soliton solutions to the DS I equation.- 5 Periodic soliton resonances II: solutions to the DSI equation.- 5.1 Resonant interaction between two y-periodic solitons to the DSI equation.- 5.2 Resonsnt interactions between line soliton and y-periodic soliton to the DSI equation.- 5.3 Resonant interaction of modulational instability with a line soliton.- 6 Soliton stability theory due to periodic soliton resonance solution.- 6.0.1 Linear stability.- 6.0.2 Stabilitiy 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.- 1.1 Semi-linear equations and double-well potential.- 1.2 Parameter effects: meta-chaos and trio-chaos.- 1.3 Global optimization and NP-hard problems.- 2 Canonical Duality Theory: A brief Review.- 2.1 Clarke-Ekeland-Lasey duality.- 2.2 Lagrangian duality.- 2.3 Canonical duality theory.- 3 Canonical Dual Theory and Solutions.- 3.1 Canonical dual transformation and perfect dual problem.- 3.2 Complete set of solutions.- 3.3 Global minimizer and local extrema.- 4 Applications to Unconstrained Global Optimization.- 4.1 Quadratic W(?).- 4.2 Concave W(?).- 5 Application to Constrained Quadratic Programming.- 5.1 Canonical dual formulation.- 5.2 KKT points and global minimizers.- 5.3 Examples.- 6 Quadratic Programming Over a Sphere.- 7 Concluding Remarks.- References.

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