CMES-Vol. 81, No. 2, 2011

Open Access

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Coupled Wavenumbers in an Infinite Flexible Fluid-Filled Circular Cylindrical Shell : Comparison between Different Shell Theories
M. V. Kunte¹, Venkata R. Sonti¹
CMES-Computer Modeling in Engineering & Sciences, Vol.81, No.2, pp. 119-156, 2011, DOI:10.3970/cmes.2011.081.119
Abstract Analytical expressions are found for the wavenumbers in an infinite flexible in vacuo / fluid-filled circular cylindrical shell based on different shell-theories using asymptotic methods. Donnell-Mushtari theory (the simplest shell theory) and four higher order theories, namely Love-Timoshenko, Goldenveizer-Novozhilov, Flügge and Kennard-simplified are considered. Initially, in vacuo and fluid-coupled wavenumber expressions are presented using the Donnell-Mushtari theory. Subsequently, the wavenumbers using the higher order theories are presented as perturbations on the Donnell-Mushtari wavenumbers. Similarly, expressions for the resonance frequencies in a finite shell are also presented, using each shell theory. The basic differences between the theories being what they are,… More >

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On Shear Locking in MLPG Solid-Shell Approach
T. Jarak¹, J. Sorić¹
CMES-Computer Modeling in Engineering & Sciences, Vol.81, No.2, pp. 157-194, 2011, DOI:10.3970/cmes.2011.081.157
Abstract A solid-shell MLPG approach for the numerical analysis of plates and shells is presented. A special attention is devoted to the transversal shear locking effect that appears in the structure thin limit. The theoretical origins of shear locking in the purely displacement-based approach are analyzed by means of the consistency paradigm. It is shown that the spurious constraints appear in the constrained strain field, which lead to the appearance of shear locking and sub-optimal convergence rates. The behaviour of the mixed MLPG approach in the thin limit is also considered. It is determined that in the mixed paradigm the Kirchhoff-Love… More >

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A Further Study on Using x^· = λ[αR + βP] (P = F − R(F·R) / ||R||²) and x^· = λ[αF + βP^∗] (P^∗ = R − F(F·R) / ||F||²) in Iteratively Solving the Nonlinear System of Algebraic Equations F(x) = 0
Chein-Shan Liu^1,2, Hong-Hua Dai¹, Satya N. Atluri¹
CMES-Computer Modeling in Engineering & Sciences, Vol.81, No.2, pp. 195-228, 2011, DOI:10.3970/cmes.2011.081.195
Abstract In this continuation of a series of our earlier papers, we define a hyper-surface h(x,t) = 0 in terms of the unknown vector x, and a monotonically increasing function Q(t) of a time-like variable t, to solve a system of nonlinear algebraic equations F(x) = 0. If R is a vector related to ∂h / ∂x, , we consider the evolution equation x^· = λ[αR + βP], where P = F − R(F·R) / ||R||² such that P·R = 0; or x^· = λ[αF + βP^∗], where P^∗ = R − F(F·R) / ||F||² such that P^*·F =… More >

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