Variational analysis of dynamics of fissured poroelastic rocks |
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| Institution: | 1. Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089, USA;2. Department of Civil Engineering and Geodesy, University of Novi Sad, 21000 Novi Sad, Republic of Serbia;3. Crvena skopska op?tina 4/1-1, Skopje, Macedonia;1. Block 2, Room D-13, International Institute of Islamic Economics (IIIE), International Islamic University, Sector H-10, Islamabad, 44000, Pakistan;2. Department of Economics, Hacettepe University, Ankara, Turkey;1. Department of Civil Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, India;1. Faculty of Geomatics Engineering, Department of Geodesy, K. N. Toosi University of Technology, Iran;2. School of Civil Engineering, College of Engineering, University of Tehran, Iran |
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| Abstract: | Rocks can be modeled in a continuum framework as fissured, poroelastic materials, i.e., materials with two degrees of porosity, one due to the fissures and another one due to the pores. The governing equations of motion of fissured poroelastic rocks established by Beskos are rederived here by establishing a variational statement which also provides the boundary conditions of the problem. This is accomplished by considering strain, dissipation and kinetic energies as well as the work of external forces. The above statement is also derived here by employing the method of weighted residuals. |
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| Keywords: | Variational statement Dynamic behavior Fissured poroelastic rocks Weighted residuals |
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