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Short description The finite-element method and the boundary-element method are the most widely used computational procedures in solid mechanics and other fields of engineering and physics. Yet, given their distinct features, each has its own advantages and disadvantages. Combining the unique advantages of both methods, the scaled boundary finite-element method is an innovative development that expands the scope of their applications. This important reference is the first to examine its specifics in depth.
From the contents FOREWORD.
PREFACE.
ACKNOWLEDGEMENTS.
FUNDAMENTALS OF NUMERICAL ANALYSIS.
NOVEL COMPUTATIONAL PROCEDURE.
PART I. MODEL PROBLEM: LINE ELEMENT FOR SCALAR WAVE EQUATION.
CONCEPTS OF SCALED BOUNDARY TRANSFORMATION OF GEOMETRY AND SIMILARITY.
WEDGE AND TRUNCATED SEMI-INFINITE WEDGE OF SHEAR PLATE.
SCALED-BOUNDARY-TRANSFORMATION-BASED DERIVATION.
MECHANICALLY-BASED DERIVATION.
MODELISATION WITH SINGLE LINE FINITE ELEMENT.
STATICS.
MASS OF WEDGE.
HIGH-FREQUENCY ASYMPTOTIC EXPANSION FOR DYNAMIC STIFFNESS OF TRUNCATED SEMI-INFINITE WEDGE.
NUMERICAL SOLUTION OF DYNAMIC STIFFNESS, UNIT-IMPULSE RESPONSE AND DISPLACEMENT OF TRUNCATED SEMI-INFINITE WEDGE.
ANALYTICAL SOLUTION IN FREQUENCY DOMAIN.
IMPLEMENTATION.
CONCLUSIONS.
APPENDIX A: SOLID MODELLING.
APPENDIX B: HARMONIC MOTION AND FOURIER TRANSFORMATION.
