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The author applies methods of nonlinear elasticity to investigate
the defects in the crystal structure of solids such as dislocations
and disclinations that characterize the plastic and strength
properties of many materials. Contrary to the geometrically
motivated nonlinear theory of dislocations continuously distributed
over the body, nonlinear analysis of isolated dislocations and
disclinations is less developed; it is given for the first time in
this book, and in a form accessible to both students and
researchers. The general theory of Volterra's dislocations in
elastic media under large deformations is developed. A number of
exact solutions are found. The nonlinear approach to investigating
the isolated defects produces results that often differ
qualitatively from those of the linear theory.
The author applies methods of nonlinear elasticity to investigate
the defects in the crystal structure of solids such as dislocations
and disclinations that characterize the plastic and strength
properties of many materials. Contrary to the geometrically
motivated nonlinear theory of dislocations continuously distributed
over the body, nonlinear analysis of isolated dislocations and
disclinations is less developed; it is given for the first time in
this book, and in a form accessible to both students and
researchers. The general theory of Volterra's dislocations in
elastic media under large deformations is developed. A number of
exact solutions are found. The nonlinear approach to investigating
the isolated defects produces results that often differ
qualitatively from those of the linear theory.
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