Intrinsic Nonlinearity in Geomaterials: Elastic Properties of Rocks at Low Strain
نویسندگان
چکیده
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 features. All these characteristics have been related to a nonclassical nonlinear elasticity. Chapter 1 introduces two strain regions where the experiments show different elastic behaviors. At low strain, rocks show their intrinsic nonlinearity until a strain material-dependent threshold, th . A transition from linear to classical nonlinear behavior appears in this first region. For strains beyond th the experimental data are contaminated by a complex nonequilibrium dynamics. Memory effects and conditioning complicate the characterization of the intrinsic nonlinearity of the sample and they do not allow a simple interpretation of the experimental data to prove the existence of anomalous nonclassical nonlinearity.
منابع مشابه
Embedded strong discontinuity finite elements for fractured geomaterials with variable friction
The strong discontinuity approach to modelling strain localization, combined with an enhanced strain element, has been used for more than a decade to model strain localization in materials including geomaterials. Most implementations of enhanced strain elements in the post-localization regime use very simple constitutive formulations along the discontinuity, such as linear softening or a consta...
متن کاملTimelapse ultrasonic tomography for measuring damage localization in geomechanics laboratory tests.
Variation of mechanical properties in materials can be detected non-destructively using ultrasonic measurements. In particular, changes in elastic wave velocity can occur due to damage, i.e., micro-cracking and particles debonding. Here the challenge of characterizing damage in geomaterials, i.e., rocks and soils, is addressed. Geomaterials are naturally heterogeneous media in which the deforma...
متن کاملMultiscale Evaluation of the Nonlinear Elastic Properties of Carbon Nanotubes Under Finite Deformation
This paper deals with the calculation of the elastic properties for single-walled carbon nanotubes (SWCNTs) under axial deformation and hydrostatic pressure using the atomistic-based continuum approach and the deformation mapping technique. A hyperelastic model based on the higher-order Cauchy-Born (HCB) rule being applicable at finite strains and accounting for the chirality and material nonli...
متن کاملStructural and mechanical properties of AFe2O4 (A = Zn, Cu0.5Zn0.5, Ni0.3Cu0.2Zn0.5) nanoparticles prepared by citrate method at low temperature
In this work, the structural and elastic moduli properties of ZnFe2O4, Zn0.5Cu0.5Fe2O4, and Ni0.3Cu0.2Zn0.5Fe2O4 ferrites prepared by the citrate method have been investigated. The structuralcharacterization of the samples is evidence for a cubic structure with Fd-3m space group. TheHalder-Wagner analysis was used to study crystallite sizes and lattice strain and also stressand energy density. ...
متن کاملViscoplastic Modelling of Unsaturated Geomaterials
In this paper a rate dependent model for unsaturated geomaterials is presented. The formulation and numerical predictions are compared with available experimental results and discussed. The constitutive laws for the description of the time-dependent mechanical behaviour of saturated and unsaturated geomaterials generalize the isotach approach to the elastoplastic strain hardening based constitu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006