2003, ISBN: 1402076452
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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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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…
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…
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…
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…
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
Données bibliographiques du meilleur livre correspondant
Auteur: | |
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ISBN: |
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.Autres livres qui pourraient ressembler au livre recherché:
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