TRANSIENT ANALYSIS IN HALF-SPACE COMBINING IGA AND THE PERFECTLY MATCHED LAYER METHOD

Abstract The modeling with discrete methods of elastic media of infinite extent that are subjected to dynamic loads normally calls for the use of special transmitting (or nonreflecting) boundaries. One such discrete method is the thin layer method, which allows efficient computation of the Green's functions for layered soils of finite depth; its application to elastic half-spaces, however, requires that the infinite medium be represented by means of approximations that are analogous to transmitting boundaries. In this article, we explore the accuracy of two of these approximations in the context of the Green's functions for antiplane (or SH) line loads. We find that the paraxial approximation of Engquist - Majda gives good results, provided that a “buffer layer” with the same material properties as the half-space separates the computational domain from the transmitting boundary. While these results were studied from the point of view of the thin layer method, they apply equally well to models with finite elements or finite differences.

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Perfectly matched layer and piecewise-linear recursive convolution for the FDTD solution of the 3D dispersive half-space problem

IEEE Transactions on Magnetics ◽

10.1109/20.717638 ◽

1998 ◽

Vol 34 (5) ◽

pp. 2747-2750 ◽

Cited By ~ 6

Author(s):

F.L. Teixeira ◽

W.C. Chew ◽

M.L. Oristaglio ◽

T. Wang

Keyword(s):

Half Space ◽

Piecewise Linear ◽

Perfectly Matched Layer ◽

Space Problem ◽

Recursive Convolution

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Dynamic Analysis of Elastohydrodynamic Squeeze Films

Journal of Lubrication Technology ◽

10.1115/1.3452869 ◽

1976 ◽

Vol 98 (3) ◽

pp. 401-407 ◽

Cited By ~ 17

Author(s):

S. M. Rohde ◽

D. Whicker ◽

A. L. Browne

Keyword(s):

Dynamic Analysis ◽

Half Space ◽

Transient Analysis ◽

Thick Films ◽

Squeeze Film ◽

Time Varying ◽

Rigid Plate ◽

Material Models ◽

Center Point ◽

Point Pressure

This paper contains an analysis of a class of elastohydrodynamic squeeze film problems. A true transient analysis is presented. Thick films bounded by a finite rigid plate and a compliant half-space are considered. The effect of different approach constraints is explored, among these being constant and time varying load and constant and time varying center point pressure. The effect of different material models is also considered.

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