• Title/Summary/Keyword: non-vanishing element

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A novel 3D BE formulation for general multi-zone domains under body force loading

  • Ghiasian, Mohammad;Ahmadi, Mohammad Taghi
    • Structural Engineering and Mechanics
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    • v.48 no.6
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    • pp.775-789
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    • 2013
  • The current paper proposes a boundary element formulation, applicable to 2-D and 3-D elastostatics problems using a unified approach for transformations of the domain integrals into boundary integrals. The method is applicable to linear problems encompassing both finite and infinite multi-region domains allowing non-vanishing body forces. Numerical results agree quite well with the analytical solutions; while the present method offers easy formulation with less numerical efforts in comparison to FEM or some BEM which need interior points to treat arbitrary body forces. It is demonstrated that the method has the potential to have profound impact on engineering design, notably in dam-foundation interaction.

DECOMPOSITION FOR CARTAN'S SECOND CURVATURE TENSOR OF DIFFERENT ORDER IN FINSLER SPACES

  • Abdallah, Alaa A.;Navlekar, A.A.;Ghadle, Kirtiwant P.;Hamoud, Ahmed A.
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.433-448
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    • 2022
  • The Cartan's second curvature tensor Pijkh is a positively homogeneous of degree-1 in yi, where yi represent a directional coordinate for the line element in Finsler space. In this paper, we discuss the decomposition of Cartan's second curvature tensor Pijkh in two spaces, a generalized 𝔅P-recurrent space and generalized 𝔅P-birecurrent space. We obtain different tensors which satisfy the recurrence and birecurrence property under the decomposition. Also, we prove the decomposition for different tensors are non-vanishing. As an illustration of the applicability of the obtained results, we finish this work with some illustrative examples.