000010637 001__ 10637
000010637 005__ 20141205155748.0
000010637 04107 $$aeng
000010637 046__ $$k2008-10-12
000010637 100__ $$aLee, Vincent W
000010637 24500 $$aFree-Field (Elastic or Poroelastic) Half-Space Zero-Stress or Related Boundary Conditions

000010637 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000010637 260__ $$b
000010637 506__ $$arestricted
000010637 520__ $$2eng$$aThe boundary-valued problem for solving for waves scattered and diffracted from surface and sub-surface topographies have attracted much attention to earthquake and structural engineers and strong-motion seismologists since the last century. It is of importance in the design, construction and analysis of earthquake resistant surface and sub-surface structures in seismic active areas that are vulnerable to near field or far field strong-motion earthquakes. The half-space medium can be elastic, or poroelastic and fluid saturated, the later case has attracted much new research in recent years. The presence of a surface or sub-surface topography, like the case of a surface canyon, valley, canal or structural foundations, or an underground cavity, tunnel or pipe, will result in scattered and diffracted waves being generated. Combined with the free-field input waves, they will together satisfy the appropriate stress and/or displacement boundary conditions at the surface of the topography present in the model. For those problems where analytical solutions are preferred in the studies, this often involves a topography that is either: circular, elliptic, spherical or parabolic in shape. This is because in those coordinate systems, the scattered waves are expressible in terms of orthogonal wave functions, and the surface of the topography often allows the orthogonal boundary conditions to be applied, so that the wave coefficients can be analytically defined. However, the presence of the half-space boundary makes the problem much more complicated. The scattered wave functions are no longer orthogonal on the flat half-space surface, and the zero-stress or related boundary conditions are no longer simple nor straight forward to apply. This paper will examine the available numerical and approximate methods that have been attempted or proposed, and the direction all future research is taking us to solve this part of the problem.

000010637 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000010637 653__ $$a

000010637 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000010637 720__ $$aLee, Vincent W$$iLiang, Jianwen
000010637 8560_ $$ffischerc@itam.cas.cz
000010637 8564_ $$s427628$$uhttps://invenio.itam.cas.cz/record/10637/files/03-03-0002.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 03-03-0002.
000010637 962__ $$r9324
000010637 980__ $$aPAPER