P
P. Ponte Castañeda
Researcher at University of Pennsylvania
Publications - 190
Citations - 8819
P. Ponte Castañeda is an academic researcher from University of Pennsylvania. The author has contributed to research in topics: Homogenization (chemistry) & Nonlinear system. The author has an hindex of 47, co-authored 186 publications receiving 8185 citations. Previous affiliations of P. Ponte Castañeda include University of Bath & Harvard University.
Papers
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The effective mechanical properties of nonlinear isotropic composites
TL;DR: In this article, a new variational structure is proposed that yields a prescription for the effective energy potential of nonlinear composites in terms of the corresponding energy potentials for linear composites with the same microstructural distributions.
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The effect of spatial distribution on the effective behavior of composite materials and cracked media
TL;DR: In this paper, the Hashin-Shtrikman estimator for the overall moduli of composites consisting of a matrix containing one or more populations of inclusions, when the spatial correlations of inclusion locations take particular ellipsoidal forms, is developed.
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Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I—theory
TL;DR: In this paper, an improved second-order homogenization method incorporating field fluctuations for nonlinear composite materials is proposed, combining the desirable features of two different, earlier methods making use of linear comparison composites, the properties of which are chosen optimally from suitably designed variational principles.
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Exact second-order estimates for the effective mechanical properties of nonlinear composite materials
TL;DR: In this article, a second-order Taylor expansion for the nonlinear phase potentials is proposed to estimate the effective behavior of nonlinear composite materials with arbitrary phase contrast, and the results are compared with available bounds and numerical estimates, as well as with other nonlinear homogenization procedures.
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Self-consistent modelling of the mechanical behaviour of viscoplastic polycrystals incorporating intragranular field fluctuations
TL;DR: In this paper, the authors present a detailed description of the numerical implementation, within the widely used viscoplastic self-consistent (VPSC) code, of a rigorous second-order (SO) homogenization procedure for non-linear polycrystals.