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The finite element method has emerged as the primary tool in computational solid mechanics and with it has come an increased demand for modern texts dealing with delicate issues, such as the numerical implementation of non-linear analysis. Recently, the extension of M. Crisfield's book Volume I: Non-¸inear finite element analysis of solids and structures, Volume II: Non-linear finite element analysis of solids and structures; advanced topics, has appeared in the market. This book fills an important gap in pedagogic treatment of the application of FEM to non-linear hyperelastic and plastic solids undergoing finite deformations. As with the earlier volume, an engineering approach is adopted in contrast to a strict mathematical development. The emphasis is on numerical implementation of large deformation theories in the analysis of a solid continua. A main feature of the book is its concise coverage of both the necessary back-

SUMMARYA technique is developed for the numerical analysis of wave motion in layered strata. Semidiscrete particular solutions satisfying inhomogeneous boundary conditions are calculated by the finite element method. These solutions are combined with semidiscrete modes of an appropriate eigenvalue problem. The boundary conditions corresponding to rigid and rough footings on a layered stratum are treated in detail. Applications are considered which demonstrate the validity of the technique.

Absorbing boundary conditions are generally required for numerical modeling of wave phenomena in unbounded domains. Local absorbing boundary conditions are generally preferred for transient analysis because of their computational efficiency. However, their accuracy is severely limited because the more accurate high-order boundary conditions cannot be implemented easily. In this paper, a new arbitrarily high-order absorbing boundary condition based on continued fraction approximation is presented. Unlike the existing boundary conditions, this one does not contain high-order derivatives, thus making it amenable to implementation in conventional C 0 finite element and finite difference methods. The superior numerical properties and implementation aspects of this boundary condition are discussed. Numerical examples are presented to illustrate the performance of these new high-order boundary condition.

SUMMARYThe feasibility of conducting a detailed analysis of pile driving using a finite element technique is examined in this paper, taking into account the non-linear behaviour of undrained clayey soil and tracing the penetration of the pile into the soil. A three-dimensional model is used for this purpose, which is handled by two-dimensional analysis due to the axisymmetric nature of the problem. A non-linear time-domain dynamic analysis is performed in which the hammer blows on the pile are represented by a periodic forcing function, and the pile penetration is treated using a frictional contact slideline algorithm. The model is applied to the driving of a concrete pile in a clayey soil.

SUMMARYA finite element technique is developed for two-dimensional problems of dynamics of dam-water-foundation systems taking into account all interactions rigorously. Water-foundation interaction, which previous developments have only simulated, is considered by imposing proper conditions at the fluid-solid interface. Furthermore, the technique permits treatment of layered foundations. An application to a concrete gravity dam-water-foundation system is presented and discussed.

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