Constant strain-rate compression test of a fluid-saturated poroelastic sample with positive or negative Poisson's ratio

• Published in: Acta mechanica Vol. 179; no. 3-4; pp. 145 - 156
• Main Authors: SAWAGUCHI, H, KURASHIGE, M
• Format: Journal Article
• Language: English
• Published: Wien Springer 01.11.2005; New York, NY Springer Nature B.V
• Subjects: Elasticity; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); General theory; Physics; Poisson distribution; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Elastic constant; Fluid mechanics; Transient response; Deformation modulus; Stress strain relation; Mechanical properties; Quasi static theory; Compression test; Porous material; Saturated porous medium; Steady state; Uniaxial compression; Time domain method; Poisson ratio; Circular cylinder; Axial load; Non linear effect; Strain rate
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-005-0261-Z

Quasi-static behavior of a poroelastic circular cylinder subjected to constant strain-rate axial compression was analyzed within the framework of the continuum mechanics of fluid-saturated, linear, poroelastic materials. The solutions obtained in the Laplace space were numerically inversed into the time domain. The results were illustrated in the form of curves for a wide range of drained Poisson's ratio (from positive to negative). It was found that, although the axial strain increases linearly with respect to time, all other strains, pore fluid pressure and all stresses do not; especially, in the case of the negative Poisson's ratio, the tangential strain becomes tensile immediately after loading and reverses its sign after a while; thereafter the compressive strain grows up to infinity. The pore fluid pressure and the tangential stress approach a steady state (constant) value after experiencing their transient process. Apparent stress-strain curves are nonlinear due to the pore fluid diffusion, with the more nonlinear for the smaller Poisson's ratio, especially for the negative ratio. [PUBLICATION ABSTRACT]