Search Results - (( Fracture mechanical Mathematical models. ) OR ( fracture mechanics mathematical model. ))*
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Strain Gradient Plasticity-Based Modeling of Damage and Fracture
Published 2018Full-text access
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The Fracture Mechanics of Plant Materials Wood and Bamboo /
Published 2018Full-text access
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Handbook of Peridynamic Modeling.
Published 2016Table of Contents: “…-- 1.1 The mixed blessing of locality -- 1.2 Origins of nonlocality in a model -- 1.2.1 Long-range forces -- 1.2.2 Coarsening a fine-scale material system -- 1.2.3 Smoothing of a heterogeneous material system -- 1.3 Nonlocality at the macroscale -- 1.4 The mixed blessing of nonlocality -- References -- 2 Introduction to Peridynamics -- 2.1 Equilibrium in terms of integral equations -- 2.2 Material modeling -- 2.2.1 Bond-based materials -- 2.2.2 Relation between bond densities and flux -- 2.2.3 Peridynamic states -- 2.2.4 Ordinary state-based materials -- 2.2.5 Correspondence materials -- 2.2.6 Discrete particles as peridynamic bodies -- 2.2.7 Setting the horizon -- 2.2.8 Linearized peridynamics -- 2.3 Plasticity -- 2.3.1 Bond-based microplastic material -- 2.3.2 LPS material with plasticity -- 2.4 Damage and fracture -- 2.4.1 Damage in bond-based models -- 2.4.2 Damage in ordinary state-based material models -- 2.4.3 Damage in correspondence material models -- 2.4.4 Nucleation strain -- 2.5 Treatment of boundaries and interfaces -- 2.5.1 Bond-based materials -- 2.5.2 State-based materials -- 2.6 Emu numerical method -- 2.7 Conclusions -- References -- II: Mathematics, Numerics, and Software Tools of Peridynamics -- 3 Nonlocal Calculus of Variations and Well-Posedness of Peridynamics -- 3.1 Introduction -- 3.2 A brief review of well-posedness results -- 3.3 Nonlocal balance laws and nonlocal vector calculus -- 3.4 Nonlocal calculus of variations- an illustration -- 3.5 Nonlocal calculus of variations- further discussions -- 3.6 Summary -- References -- 4 Local Limits and Asymptotically Compatible Discretizations.…”
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Mathematical Analysis of Continuum Mechanics and Industrial Applications Proceedings of the International Conference CoMFoS15 /
Published 2017Table of Contents: “…Part 1: Fracture Mechanics -- Strong but slippery adhesion of mushroom-shaped polysaccharide gels -- Bridging the scales between discrete and continuum dislocation models -- Phase field crack growth model with Hydrogen embrittlement -- On singularities in 2D linearized elasticity -- Part 2: Shape Optimization -- Two-Parameter Topological Expansion of Helmholtz Problems with Inhomogeneity -- Solution of shape optimization problem and its application to product design -- Shape optimization by GJ-integral: Localization method for composite material -- Shape optimization approach by traction method to inverse free boundary problems -- Part 3: Earthquakes and Inverse Problems -- Synthesis of seismic wave envelopes based on the Markov approximation -- Propagation velocity of pulse-like rupture along earthquake faults -- Inverse Source Problem for a Wave Equation with Final Observation Data -- Part 4: Fluid Mechanics and Interface Dynamics -- The contribution of Kawada to the analytical solution for the velocity induced by a helical vortex filament and modern applications of helical vortices -- A new model for fungal hyphae growth using the thin viscous sheet equations -- On Boundary Conditions for Hele-Shaw Problem -- Part 5: Industrial Applications -- Computer Simulation of the Phase Separation of Polymeric Materials for Industrial Applications -- Highly parallel computation of generalized eigenvalue problem in vibration for automatic transmission of vehicles using Sakurai-Sugiura method and supercomputers -- Mathematical analysis of synchronization from the perspective of network science -- Index.…”
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Design and Analysis of Reinforced Fiber Composites
Published 2016Full-text access
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