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  • 1
    Electronic Resource
    Electronic Resource
    The plane stress crack-tip field for an incompressible rubber material (1994)
    Springer
    Applied mathematics and mechanics 15 (1994), S. 499-506 
    Details
    ISSN: 1573-2754
    Keywords: incompressible material ; plane stress condition ; crack-tip field fully nonlinear ; equilibrium theory
    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 The crack-tip field under plane stress condition for an incompressible rubber material[1] is investigated by the use of the fully nonlinear equilibrium theory. It is found that the crack-tip field is composed of two shrink sectors and one expansion sector. At the crack-tip, stress and strain possess the singularity of R−1 and R−1 n, respectively, (R is the distance to the crack-tip before deformation. n is the material constant). When the crack-tip is approached, the thickness of the sheet shrinks to zero with the order of R1 4n. The results obtained in this paper are consistent with that obtained in[8] when s→∞.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451500
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the inverse problem in calculus of variations (1994)
    Springer
    Applied mathematics and mechanics 15 (1994), S. 815-829 
    Details
    ISSN: 1573-2754
    Keywords: variational principle ; variational integral ; inverse problem
    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 The inverse problem in calculus of variations is studied. By introducing a new concept called Variational Integral, a new method to systematically study the inverse problem in calculus of variations is given. Using this new method to the elastodynamics and hydrodynamics of viscous fluids, some kinds of variational principles and generalized variational principles are obtained respectively.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451631
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  • 3
    Electronic Resource
    Electronic Resource
    On some important problems in analytical dynamics of non-holonomic systems (1993)
    Springer
    Applied mathematics and mechanics 14 (1993), S. 1113-1123 
    Details
    ISSN: 1573-2754
    Keywords: analytical dynamics ; variational principle ; non-holonomic systems ; the deductive metho ; Chetaev condition ; constraint force
    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 deductive method, Chetaev condition is derived in this paper. We point out that the processes of variation and differentiation are not permutable in non-holonomic dynamics is a misunderstanding. The paper gives two, classical relations of non-holonomic systems and points out integral variational principles can be applied in non-holonomic systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02456649
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  • 4
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    Analysis of a functionally graded piezothermoelastic hollow cylinder (2005)
    Springer
    Details
    Publication Date: 2005-09-01
    Print ISSN: 1673-565X
    Electronic ISSN: 1862-1775
    Topics: Natural Sciences in General
    Published by Springer
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