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Titlebook: Mathematical Analysis of Continuum Mechanics and Industrial Applications II; Proceedings of the I Patrick van Meurs,Masato Kimura,Hirofumi

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On Applications of Fast Domain Partitioning Method to Earthquake Simulations with Spatiotemporal Boumain boundary integral equation method (ST-BIEM) and the fast domain partitioning method (FDPM), which enable us to reduce the required memory storage and the computation time, respectively, to . and . from the original values of . and . for the given elements . and time steps .. FDPM utilizes the p
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Integral Representation and Its Applications in Earthquake Mechanics: A Reviewbut also via an integral equation. We conduct a review of these links and focus on the latter in terms of forward/inverse analyses of kinematic/dynamic modeling, which are investigated by many seismologists. Difficulties in the analyses are also mentioned: estimation and hyper-singularity of an inte
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Brief Introduction to Damage Mechanics and Its Relation to Deformations suggesting a parameter identification setting. To this end, we introduce a variable motivated by the physical damage phenomenon and comment on its accessibility through measurements. We give an extensive survey on analytic results and present an isotropic irreversible partial damage model in a dyna
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Structured Deformations of Continua: Theory and Applicationsured deformations aim at being a unified theory in which elastic and plastic behaviours, as well as fractures and defects can be described in a single setting. Since its introduction in the scientific community of rational mechanicists [.], the theory has been put in the framework of variational cal
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Energy-Stable Numerical Schemes for Multiscale Simulations of Polymer–Solvent Mixturesymer–solvent mixtures. These partial differential equations are the Cahn-Hilliard equation for diffuse interface phase fields and the Oldroyd-B equations for the hydrodynamics of the polymeric mixture. A second-order combined finite volume/finite difference method is applied for the spatial discreti
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