By Hamid R. Hamidzadeh, Liming Dai, Reza N. Jazar (auth.)
This e-book covers complicated subject matters in dynamic modeling of soil-foundation interplay, in addition to the reaction of elastic semi-infinite media from an functions standpoint. complex recommendations corresponding to options for research of elastic semi-infinite mediums, fluid movement in porous media, and nonlinearities in dynamic habit are defined in nice aspect. similar theories and numerical research for vertical vibration, and rocking vibration of a inflexible oblong mass-less plate, and horizontal vibration of a inflexible mass-less plate are provided. in the course of the booklet, a robust emphasis is put on functions, and a laboratory version for elastic half-space medium is provided.
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Additional resources for Wave Propagation in Solid and Porous Half-Space Media
This chapter is also presenting the required fundamental of elasto-dynamics to achieve the set goal for the chapter. Keywords Stress–strain relation • Elastic rotations • Boundary stresses • Boundary displacements In this chapter fundamental governing equations for propagation of a harmonic disturbance on the surface of an elastic half-space is presented. The elastic media is assumed to be isotropic, continuous and infinite. Although this subject has been treated in various approaches in a number of references such as Lamb (1904), Timoshenko and Goodier (1951), Sneddon (1951), Ewing and Jardetzky (1957), and many others, it may be appropriate to develop a general procedure for solution of a number of essential soil dynamic problems based on the first principles of elasticity.
Lawrence (1965) used a pulse technique to measure shear modulus. Theirs and Seed (1968) and Kovacs et al. (1971) used a cyclic simple shear test for low frequency cyclic loading. They measured the shear modulus and the damping ratio of the soil for very small strains by recording the free response of the vertical vibration of a circular footing. In development of experimental methods for determination of frequency response for foundations, few experiments have been performed to determine the frequency response of a footing on the surface of an elastic half-space.
Hsu and Schoenberg (1990) utilized ultrasonic experiments to investigate the elastic behavior of systems of closely spaced elastic plates with roughened surfaces and they measured the compressional and shear velocities in directions normal and parallel to the plates. Quasicompressional and quasishear velocities were measured at a variety of oblique angles. Le Houedec (2001) presented a review article on the transmission of vertical vibrations of a rigid footing over the surface of the ground by considering two different models of elastic half-space and an elastic layer medium.