Abstract
The concept of extra or quasiplastic deformation is applied to the non-linear theory of elasticity of coherent inclusions in a matrix of different crystal structure. K.-H. Anthony's treatment of extra-deformation by means of non-metric differential geometry is reviewed. We replace his definition of the elastic connexion by a more obvious but equivalent one. The elastic effect of the inclusion can be represented by extra-dislocations whereas the extra-disclination density vanishes, even in the non-linear theory. It is shown that the elastic stress of an inclusion can be cancelled approximately by an arrangement of lattice dislocations. Extra-deformation and extra-dislocation density are specified for a simple model of an inclusion having suffered a martensitic transformation.
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