# Nonlinear and nonequilibrium dynamics in geomaterials.

@article{Tencate2004NonlinearAN, title={Nonlinear and nonequilibrium dynamics in geomaterials.}, author={James Alan Tencate and Donatella Pasqualini and Salman Habib and Katrin Heitmann and David M. Higdon and Paul Allan Johnson}, journal={Physical review letters}, year={2004}, volume={93 6}, pages={ 065501 } }

The transition from linear to nonlinear dynamical elasticity in rocks is of considerable interest in seismic wave propagation as well as in understanding the basic dynamical processes in consolidated granular materials. We have carried out a careful experimental investigation of this transition for Berea and Fontainebleau sandstones. Below a well-characterized strain, the materials behave linearly, transitioning beyond that point to a nonlinear behavior which can be accurately captured by a…

## 96 Citations

Intrinsic Nonlinearity in Geomaterials: Elastic Properties of Rocks at Low Strain

- Geology
- 2006

The elastic properties of geomaterials are anomalous. Hysteresis with end point memory, slow dynamics, and linear variation of the resonance frequency with the strain are only some of these uncommon…

Long‐Time Relaxation Induced by Dynamic Forcing in Geomaterials

- GeologyJournal of Geophysical Research: Solid Earth
- 2019

We present a theoretical model and experimental evidence of the long‐time relaxation process (slow dynamics) in rocks and other geomaterials following a dynamic wave excitation, at scales ranging…

Multiscale model to study dislocation dynamics in nonlinear resonance spectroscopy of crystalline solids.

- Materials Science, PhysicsUltrasonics
- 2019

Evidence of microstructure evolution in solid elastic media based on a power law analysis

- PhysicsCommun. Nonlinear Sci. Numer. Simul.
- 2015

Nonlinear elastic response of thermally damaged consolidated granular media

- Engineering
- 2013

The mechanical properties of consolidated granular media are strongly affected by large temperature changes which induce the development and localization of stresses, leading in turn to damage, e.g.,…

Nonequilibrium phenomena in damaged media and their effects on the elastic properties.

- EngineeringThe Journal of the Acoustical Society of America
- 2012

Experimental results indicating that nonlinearity of damaged concrete is memory-dependent will be presented and the implications of such findings in the development of physical models, with relevant outcomes for the characterization of hysteretical features, will be discussed.

Hysteresis in modeling of poroelastic systems: quasistatic equilibrium.

- BiologyPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

An essential ingredient in the behavior of hysteretic, coupled elastic and fluid systems, the interaction between the mechanical variables and the fluid variables, is accorded special attention.

Nonlinear acoustics measurements of intact and damaged samples: fast and slow dynamics

- Physics, Materials Science2019 IEEE International Ultrasonics Symposium (IUS)
- 2019

When excited by elastic waves, nonlinear mesoscopic elastic materials (for example, consolidated granular materials) show, at the same time, fast and slow dynamics effects. Here we introduce suitable…

A physics-based model of nonlinear elasticity of rocks for reversible damage, slow dynamics, hysteresis and dynamic acoustoelastic testing (DAET)

- Materials Science
- 2018

Co-seismic changes of the seismic velocity and the subsequent recovery are the field equivalents to modulus changes in resonant bar experiments or dynamic acoustoelastic testing (DAET) in the…

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