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  • 1
    Electronic Resource
    Electronic Resource
    The impact torsional buckling of elastic cylindrical shells with arbitrary form imperfection (1993)
    Springer
    Applied mathematics and mechanics 14 (1993), S. 499-505 
    Details
    ISSN: 1573-2754
    Keywords: impact torsional buckling ; elastic cylindrical shell ; perturbation analysis ; initial imperfection sensitivity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract A perturbation analysis for the impact torsional buckling of imperfective elastic cylindrical shells subjected to a step torque is given. The imperfection is supposed to be small and has arbitrary form. It is shown that only the imperfection which has the shape of static torsional buckling mode could influence the critical step torque. Finally a formula is presented for the critical step torque.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451358
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  • 2
    Electronic Resource
    Electronic Resource
    The impact torsional buckling for the rigid plastic cylindrical shell (1993)
    Springer
    Applied mathematics and mechanics 14 (1993), S. 693-698 
    Details
    ISSN: 1573-2754
    Keywords: dynamic plastic buckling ; energy criterion ; rigid plastic material ; cylindrical shell
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract By using the energy criterion in[3], the impact torsional buckling for the rigid plastic cylindrical shell is studied. The linear dynamic torsional buckling equations for the rigid plastic shell is drived, and the critical impact velocity is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02453321
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  • 3
    Electronic Resource
    Electronic Resource
    A rate type method for large deformation problems of nonlinear elasticity (1994)
    Springer
    Applied mathematics and mechanics 15 (1994), S. 125-133 
    Details
    ISSN: 1573-2754
    Keywords: nonlinear elasticity ; hypoelasticity ; large deformation ; stress rate tensor
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper, we obtain the rate-type constitutive expressions of the nonlinear isotropic elasticity by using the Jaumann, Truesdell and Green-Naghdi stress rate respectively. Through analysing the simple shear deformation for Mooney-Rivlin material, three kinds of rate-type constitutive equations are verified to be equivalent to the original equation. Rate-type variational principles are also presented, and the Ritz method is used to obtain the numerical solution of a rectangular rubber membrane under uniaxial stretch.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451047
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