Abstract
Preface.- Crystals.- Framework of the classical theory of elasticity.- Quasicrystals and their properties.- Physical basis of the elasticity of quasicrystals.- Elasticity theory of one-dimensional quasicrystals and simplification.- Elasticity theory of two-dimensional quaiscrystals and simplification.- Application I--Some dislocation problems and solutions of one- and two-dimensional quasicrystals.- Application II--Some notch and crack problems and solutions of one- and two-dimensional quasicrystals.- Elasticity of three-dimensional quasicrystals and applications.- Elastodynamics of quasicrystals.- Complex variable function method.- Variational principles, numerical method and solutions of two-dimensional quasicrystals.- Some mathematical principles on solutions of elasticity of quasicrystals.- Nonlinear elasticity and plasticity.- Fracture theory of quasicrystals.- Possible applications of elasticity to the study of specific heat of quasicrystals.
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