The Effective Elastic Moduli of Model Sediments

Abstract

As a rather idealized model of an ocean sediment, we take a fluid-saturated packing of like elastic spheres and present a method for calculating the effective elastic moduli of such packings. In particular, the method is applied to the cubic packing to obtain certain new results relating to just one of the moduli, namely the one corresponding to a vertical compression. Two cases are considered; one being when the packing is subjected to a uniform compressive force and the second when the packing is at rest under gravity.

Improved Description and Monitoring of Near Surface Hazardous Infiltrate Complexes by Shear Waves for Effective Containment Response

“…Such assumptions allow compliance, for instance, with the conditions of the Hertz theory confined within exact regimes for an overall oscillatory / dynamic behaviour analysis of granular media. Usefulness of such ideal model is mathematically well illustrated by [3]. The model [3] is necessarily a saturated cubic one capable of the description of both Pwave and Swave, where the plausibility of the model assumptions was observed held in terms of offering reasonably matched comparison of previously published predictions consistent with the similar theory, to those associated with and prior ones included in this study.…”

“…Usefulness of such ideal model is mathematically well illustrated by [3]. The model [3] is necessarily a saturated cubic one capable of the description of both Pwave and Swave, where the plausibility of the model assumptions was observed held in terms of offering reasonably matched comparison of previously published predictions consistent with the similar theory, to those associated with and prior ones included in this study. The model with notions of underlying theory is of distinct salience regarding the ensuing description of analyses, especially.…”

Effect of particle shape and arrangement on thermoelastic properties of porous ceramics

“…For spherical particles with very small contacts analytical solutions exist for thermal conductivity 52 and elastic properties. 45,53 Fig. 10 shows a comparison of our FE simulation with the analytical results.…”

“…10 shows a comparison of our FE simulation with the analytical results. (Note that a scaled neck area was used which was calculated by divid- 45,52,53 ) ing the two particle contact area by the side area of the cube.) The excellent agreement demonstrates that the FE model was appropriate for the simulation of structures with very small particle contacts.…”

Macroscopic elastic properties of regular lattices

“…For example, elasticity of randomly packed granular materials can be found in Walton (1987) and Bathurst and Rothenburg (1988). Elastic properties of the 3-D regular packing of elastic spheres were done by Duffy and Mindlin (1957), Deresiewicz (1958), Duffy (1959) and Walton (1975). However, particle rotation and rotational stiffnesses were not considered in these studies.…”