Title | Advances in Mechanics and Mathematics [electronic resource] : Volume II / edited by David Y. Gao, Ray W. Ogden |
---|---|
Imprint | Boston, MA : Springer US, 2003 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-0247-6 |
Descript | XVIII, 314 p. online resource |
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