Nonlinear Finite Elements For Continua And Structures

By Lisa M. Dresner. 2016

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Imposition of essential boundary conditions in the material point method (2018, methodology): “see [9]), however ALE methods differ from MPMs in an important respect, that is, they need mapping of state variables when updating meshes and MPM does not, all information being carried at the material points.”
Computational microstructure characterization and reconstruction: Review of the state-of-the-art techniques (2018, methodology): “This behavior is approximately observed in many rubber-like materials [283].”
A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning (2018, background): “As emphasized in Belytschko et al. [2013], macroscopic responses of a material system are often dom-853 inated by the evolution of microstructural attributes, especially after the material bifurcation occurs.”
A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality (2017, background): “…properties considered for the Neo-Hookean model are: For any hyperelastic model the second Piola–Kirchhoff stress S is directly related to the strain energy density: from which the expressions for the second Piola–Kirchhoff stress of each hyperelastic model can be trivially determined, see [96].”