Modeling of random anisotropic elastic media and impact on wave propagation

Quang Anh Ta · Didier Clouteau · Régis Cottereau

46 citations0/0 files storedEuropean Journal of Computational Mechanics

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Probabilistic and Robust Engineering Design Seismic Imaging and Inversion Techniques Elasticity and Wave Propagation

Abstract

The class of stochastic non-gaussian positive-definite fields with minimal parameterization proposed by Soize (Soize, 2006) to model the elasticity tensor field of a random anisotropic material shows an anisotropy index which grows with the fluctuation level. This property is in contradiction with experimental results in geophysics where the anisotropy index remains limited whatever the fluctuation level. Hence, the main purpose of this paper is to generalize the Soize’s model in order to account independently for the anisotropy index and the fluctuation level. It is then shown that this new model leads to major differences in the wave propagation regimes.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 46 citations exist upstream.

References

1996Simulation of Multi-Dimensional Gaussian Stochastic Fields by Spectral Representation 2004Random matrix theory for modeling uncertainties in computational mechanics 2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators

Cited by

2011Generalized stochastic approach for constitutive equation in linear elasticity: a random matrix model 2014Random field representations for stochastic elliptic boundary value problems and statistical inverse problems 2011Non‐Gaussian positive‐definite matrix‐valued random fields with constrained eigenvalues: Application to random elasticity tensors with uncertain material symmetries 2010A stochastic model for elasticity tensors with uncertain material symmetries 2012Stochastic modeling and identification of an uncertain computational dynamical model with random fields properties and model uncertainties 2011Probabilistic modeling of apparent tensors in elastostatics: A MaxEnt approach under material symmetry and stochastic boundedness constraints 2015STOCHASTIC REPRESENTATIONS AND STATISTICAL INVERSE IDENTIFICATION FOR UNCERTAINTY QUANTIFICATION IN COMPUTATIONAL MECHANICS

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.