The bounds for fully saturated porous material
- Authors
- Yoon, Young June; Jung, Jae-Yong; Chung, Jae-Pil
- Issue Date
- Oct-2020
- Publisher
- 한국정보전자통신기술학회
- Keywords
- Hill inequality; Voigt and Reuss bounds; Anisotropy; Elasticity tensor
- Citation
- 한국정보전자통신기술학회 논문지, v.13, no.5, pp.432 - 435
- Indexed
- KCI
- Journal Title
- 한국정보전자통신기술학회 논문지
- Volume
- 13
- Number
- 5
- Start Page
- 432
- End Page
- 435
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144948
- DOI
- 10.17661/jkiiect.2020.13.5.432
- ISSN
- 2005-081X
- Abstract
- The elasticity tensor for water may be employed to model the fully saturated porous material. Mostly water is assumed to be incompressible with a bulk modulus, however, the upper and lower bounds of off-diagonal components of the elasticity tensor of porous materials filled with water are violated when the bulk modulus is relatively high. In many cases, the generalized Hill inequality describes the general bounds of Voigt and Reuss for eigenvalues, but the bounds for the component of elasticity tensor are more realistic because the principal axis of eigenvalues of two phases, matrix and water, are not coincident. Thus in this paper, for anisotropic material containing pores filled with water, the bounds for the component of elasticity tensor are expressed by the rule of mixture and the upper and lower bounds of fully saturated porous materials are violated for low porosity and high bulk modulus of water.
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