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Nonlinear Theory of Dislocations and Disclinations in ~ The general theory of Volterras dislocations in elastic media under large deformations is developed A number of exact solutions of the problems are found The nonlinear approach to investigating the isolated defects produces the results that often differ qualitatively from those of the linear theory The book addresses students and researchers

Nonlinear Theory of Dislocations and Disclinations in ~ 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

Nonlinear Theory of Dislocations and Disclinations in ~ 1997 Nonlinear Theory of Dislocations and Disclinations in Elastic Shells In Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies Lecture Notes in Physics Monographs vol 47

Nonlinear Theory of Dislocations and Disclinations in ~ The general theory of Volterras dislocations in elastic media under large deformations is developed A number of exact solutions of the problems are found The nonlinear approach to investigating the isolated defects produces the results that often differ qualitatively from those of the linear theory

Nonlinear Theory of Dislocations and Disclinations in ~ In the continuous theory of defects in nonlinear elastic solids it is known that a distribution of disclinations leads in general to a nontrivial residual stress field

Nonlinear theory of dislocations and disclinations in ~ Nonlinear Theory of Dislocations and Disclinations in Elastic Shells 6 Stability of Equilibrium and Wave Propagation in Bodies with Inherent Stresses Stability of Equilibrium and Wave Propagation in Bodies with Inherent Stresses

Volterra’s Dislocations in Elastic Body Large Deformation ~ Here R is the radiusvector of a particle of the body in the deformed configuration r is its radiusvector in reference configuration curvilinear coordinates q s s 123 refer to the reference configuration Lagrange’s coordinates r s is a vector basis of the reference configuration R s is a vector basis of the deformed configuration θ is the temperature and δ k s is Kronecker’s symbol

Elastic Shells Dislocations and Disclinations SpringerLink ~ Volterra dislocation is a special state of an elastic multiply connected body in which the strain tensor and the free energy density are singlevalued and continuous in the domain occupied by the body and displacements and rotations possess multivalence of a certain type

Continuum theory of dislocations and disclinations in ~ L M Zubov Nonlinear Theory of Dislocations and Disclinations in Elastic Bodies Springer BerlinHeidelbergNew York 1997 zbMATH Google Scholar 4 E Nikitin and L M Zubov “Conservation Laws and Conjugate Solutions in the Elasticity of Simple Materials and Materials with Couple Stress” J Elasticity 51 1 1–22 1998

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