Geodesic
Tension with torsion. Part~2. Deformation process stability of a~sample in a~mechanical system. Rigid and soft loadings
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 77-86

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Tension with torsion of a hollow cylindrical sample within the mechanical system structure consisting of two elastic cylindrical rods, transmitting loading on a sample is studied. System stability is determined by methods of catastrophe theory and theory of differentiated mapping peculiarities for soft and rigid loadings.
Keywords: Hessian, Jacobian of mapping, critical points and critical values, stability, a discriminantal cone, rigid and soft loading. 
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     author = {V. V. Struzhanov and E. Yu. Prosviryakov},
     title = {Tension with torsion. {Part~2.} {Deformation} process stability of a~sample in a~mechanical system. {Rigid} and soft loadings},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {77--86},
     publisher = {mathdoc},
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V. V. Struzhanov; E. Yu. Prosviryakov. Tension with torsion. Part~2. Deformation process stability of a~sample in a~mechanical system. Rigid and soft loadings. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 77-86. http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a8/