Download PDF by Y. C. Fung: A first course in continuum mechanics: for physical and

By Y. C. Fung

ISBN-10: 0130615242

ISBN-13: 9780130615244

ISBN-10: 0130615323

ISBN-13: 9780130615329

Revision of a vintage textual content by way of a exclusive writer. Emphasis is on challenge formula and derivation of governing equations. new version positive factors elevated emphasis on functions. New bankruptcy covers long term adjustments in fabrics below pressure.

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This comparison is carried somewhat further in Table 3 for the special case of isotropy, by including equivalent quantities as defined by Rice and Cleary (1976) whose formulation has frequently been compared with others; readers should be able to construct further equivalences using such sources together with the information provided by Table 3. In his early work, Biot conceived the variable θ as increment of water volume per unit volume of soil, calling it “variation in water content”. Biot’s 1941 paper is essentially a linear theory for a wetted poroelastic skeleton, involving the variation in water content θ and the increment in water pressure σ as work-conjugate variables.

This problem is solved by (70)1 , but there are a number points to be made here. Consider first the form u Sijkl − Sijkl = Mσ βij βkl = βij βkl S˜σ + v0 cf (119) of this result. This tells us that the two compliances can be calculated in terms of each other, once the tensorial coefficient βij and the scalar 18 The drained compliances are often referred to as dry compliances in this context, in reference to the fact that the pore pressure remains constant in a drained deformation. Note, however, that Biot’s notion of a wetted porous medium, as discussed in the above, would be a more appropriate description of the state of a fluid-saturated material that undergoes a drained deformation.

Theorie der Setzung von Tonschichten, F. Deutike, Wien. R. Willis (1991). A reformulation of the equations of anisotropic poroelasticity. J. Appl. Mech. 58, 612–616. F. (2000). Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology. Princeton University Press, Princeton and Oxford. H. (1983). Statistical Mechanics of Elasticity, John Wiley & Sons, New York. H. S. King (1986). Compressibility of porous rocks. J. Geophys. Res. 91, 12,765–12,777. Eshelby’s Technique for Analyzing Inhomogeneities in Geomechanics John W.

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A first course in continuum mechanics: for physical and biological engineers and scientists by Y. C. Fung

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