A multi-phasic approach for estimating the Biot coefficient for Grimsel granite

This paper presents an alternative approach for estimating the Biot coefficient for the Grimsel granite, which appeals to the multi-phasic mineralogical composition of the rock. The modelling considers the transversely isotropic nature of the rock that is evident from both the visual appearance of the rock and determined from mechanical testing. Conventionally, estimation of the compressibility of the solid material is performed by fluid saturation of the pore space and pressurization. The drawback of this approach in terms of complicated experimentation and influences of the unsaturated pore space is alleviated by adopting the methods for estimating the solid material compressibility using developments in theories of multi-phase materials. The results of the proposed approach are compared with estimates available in the literature.

A Multi-phasic Approach for Estimating the Biot Coefficient for Grimsel Granite

This paper presents an alternative approach for estimating the Biot coefficient for the Grimsel granite, which appeals to the multi-phasic mineralogical composition of the rock. The modelling considers the transversely isotropic nature of the rock that is evident from both the visual appearance of the rock and determined from mechanical testing. Conventionally, estimation of the compressibility of the solid material is performed by fluid saturation of the pore space and pressurization. The drawback of this approach in terms of complicated experimentation and influences of the unsaturated pore space is alleviated by adopting the methods for estimating the solid material compressibility using developments in theories for multiphasic elastic composite materials. The results of the proposed approach are used to develop a set of bounds for the Biot coefficient.

EXPLICIT SOLUTION METHODS IN QUASI-STATIC ANALYSES OF RUBBER-LIKE MATERIALS

ABSTRACT The use of explicit finite element methods is practical for only a limited range of bulk modulus to shear modulus ratios. As a consequence, these efficient and robust methods have not found a large range of application in the analysis of rubber-like materials. On the other hand, the implicit finite element methods, which do not have a material compressibility limitation, fail to provide a solution to many challenging nonlinear rubber problems. A systematic investigation of the bulk modulus effect on the solution of a typical class of rubber problems is carried out with the aim of providing quantitative guidance for the use of explicit methods in the quasi-static analysis of nearly incompressible media with strong nonlinearities.

Influence of Material Compressibility on Displacement Solution for Structural Steel Plate Applications

Displacement field calculations are necessary for many structural steel engineering problems such as cold expansion of holes, embedment of bolts and rivets, and installation and maintenance of external devices. To this end, rigorous closed form analytical displacement solution is obtained for structural steel open-hole plates with in-plane loading. The material of the model is considered to be elastic perfectly plastic obeying the von Mises yield criterion with its associated flow rule. On the basis of this solution, two simplified engineering formulae are proposed and carefully discussed for practical engineering purposes. Graphical representations of results show validity of each formula as compared with rigorous solution and other studies.