Nonlinear Theory Of Dislocations And Disclinations In Elastic Bodies

The author applies methods of nonlinear elasticity to investigate the defectsin the crystal structure of solids such as dislocations and disclinations thatchara... » 

The author applies methods of nonlinear elasticity to investigate the defectsin the crystal structure of solids such as dislocations and disclinations thatcharacterize the plastic and strength properties of many materials. Contrary tothe geometrically motivated nonlinear theory of dislocations continuouslydistributed over the body nonlinear analysis of isolated dislocations anddisclinations is less developed it is given for the first time in this bookand in a form accessible to both students and researchers. The general theoryof Volterras dislocations in elastic media under large deformations isdeveloped. A number of exact solutions are found. The nonlinear approach toinvestigating the isolated defects produces results that often differqualitatively from those of the linear theory. TOCFrom the ContentsVolterras Dislocations in Elastic Body. Large Deformation. Stressed State ofNonlinearly Elastic Bodies with Dislocations and Disclinations. ExactSolutions Stressed to the Problems on Volterra Dislocations in NonlinearlyElastic Bodies. Isolated Defects in Nonlinearly Elastic Bodies with CoupleStresses. Nonlinear Theory of Dislocations and Disclinations in ElasticShells. Stability of Equilibrium and Wave Propagation in Bodies with InherentStresses. «