Open Access
A fast numerical method for computing the linear and nonlinear mechanical properties of composites
Hervé Moulinec,Pierre Suquet +1 more
- Vol. 318, Iss: 11, pp 1417-1423
TLDR
In this article, the elastic problem for a heterogeneous material is formulated with the help of a homogeneous reference medium and written under the form of a periodic Lippman-Schwinger equation.Abstract:
This Note is devoted to a new iterative algorithm to compute the local and overall response of a composite from images of its (complex) microstructure. The elastic problem for a heterogeneous material is formulated with the help of a homogeneous reference medium and written under the form of a periodic Lippman-Schwinger equation. Using the fact that the Green's function of the pertinent operator is known explicitely in Fourier space, this equation is solved iteratively.The method is extended to the case where the individual constituents are elastic-plastic Von Mises materials with isotropic hardeningread more
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Quantitative X-ray tomography
Eric Maire,Philip J. Withers +1 more
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Tailoring materials with prescribed elastic properties
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An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials
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DAMASK – The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale
Franz Roters,Martin Diehl,Pratheek Shanthraj,Pratheek Shanthraj,Phillip Eisenlohr,C. Reuber,Su Leen Wong,Tias Maiti,A. Ebrahimi,Thomas Hochrainer,Helge-Otto Fabritius,Svetoslav Nikolov,Martin Friák,Martin Friák,Martin Friák,N. Fujita,Nicolò Grilli,K.G.F. Janssens,N. Jia,P. J.J. Kok,Duancheng Ma,Felix Meier,Ewald Werner,Markus Stricker,Daniel Weygand,Dierk Raabe +25 more
TL;DR: The Dusseldorf Advanced Material Simulation Kit (DAMASK) as mentioned in this paper is an open, flexible, and easy to use implementation to the scientific community that allows the use and straightforward implementation of different types of constitutive laws and numerical solvers.
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A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials
TL;DR: A state-of-the-art platform in predictive image-based, multiscale modeling with co-designed simulations and experiments that executes on the world's largest supercomputers is discussed that can be the basis of Virtual Materials Testing standards and aids in the development of new material formulations.
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A numerical method for computing the overall response of nonlinear composites with complex microstructure
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