Engineering Computations: Volume 8 Issue 2

INFINITE ELEMENTS FOR DYNAMIC PROBLEMS: PART 1

PETER BETTESS, JACQUELINE A. BETTESS

This paper is concerned with infinite elements for dynamic problems, that is, those which change in time. It is a sequel to our earlier paper on static problems. The paper is in a…

INFINITE ELEMENTS FOR DYNAMIC PROBLEMS: PART 2

PETER BETTESS, JACQUELINE A. BETTESS

Survey of period infinite element developments The first infinite elements for periodic wave problems, as stated in Part 1, were developed by Bettess and Zienkiewicz, the earliest…

THREE DIMENSIONAL SOIL‐STRUCTURE INTERACTION ANALYSIS: DEFORMABLE STRUCTURES IN MULTILAYERED SOIL MASS

T. KUNDU, R.P. MATHUR, C.S. DESAI

A new hybrid method based on three‐dimensional finite element idealization in the near field and a semi‐analytic scheme using the principles of wave propagation in multilayered…

ANALYTICAL AND COMPUTATIONAL STUDIES ON THE CONSOLIDATION OF MULTILAYERED SOILS

S. SADIKU

Using the Heaviside operator, a single partial differential equation is obtained for the space‐time variation of the pore pressure in two adjacent soil layers undergoing…

THE MAGIC OF GAUSS QUADRATURE

A.H.C. CHAN

For those who are working with the finite element method, one may somehow wonder why a n point Gauss‐Legendre quadrature formula can integrate a 2n—1 order polynomial exactly. The…