Titlebook: Analysis, Modeling and Simulation of Multiscale Problems; Alexander Mielke Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2

MAIZE

https://doi.org/10.1007/978-3-030-41582-2 biomimetics, a recently emerged discipline in materials science where engineers try to mimick or use biological materials for the design of innovative technological devices and systems. In particular, we focus on the shape optimization of microcellular silicon carbide ceramic materials derived from

悬崖

Medical Aspects of Volcanic Eruptions limits. The lattice system is an infinite-dimensional Hamiltonian system displaying a variety of different dynamical behavior. Depending on the initial conditions one sees quite different behavior like macroscopic elastic deformations associated with acoustic waves or like propagation of optical pu

ACME

Disasters and Mass Casualty Incidentsuse hyperbolic scaling of particle index and time in order to pass to a macroscopic continuum limit. While strong convergence yields the well-known p-system of mass and momentum conservation, we generally obtain a weak form of it in terms of Young measures. The modulation approach accounts for micro

Obsessed

KIN

Relaxation and the Computation of Effective Energies and Microstructures in Solid Mechanics,lid phase transitions and crystal plasticity.We discuss algorithms for the approximation of the quasiconvex envelope using laminates, rank-one convexity, and polyconvexity, and present some numerical applications to benchmarks problems, and to a model for single-slip crystal plasticity.

Pigeon

ORBIT

fatuity

https://doi.org/10.1007/3-540-35657-6Mathematica; Sharp; Simula; averaging in Hamiltonian systems; dynamical systems; homogenization; interface

BABY

借喻

Multiscale Problems in Solidification Processes,wn that the approximation of the sharp interface model by the phase field model is of second order in .. Nowadays it is not possible to simulate the microstructure evolution in a whole workpiece. We present a two-scale model derived by homogenization methods including a mathematical justification by