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  • 1
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    Quasi-static solution algorithms for kinematically/materially nonlinear thermomechanical problems (1984)
    In:  Other Sources
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    Publication Date: 2019-06-28
    Description: This paper develops an algorithmic solution strategy which allows the handling of positive/indefinite stiffness characteristics associated with the pre- and post-buckling of structures subject to complex thermomechanical loading fields. The flexibility of the procedure is such that it can be applied to both finite difference and element-type simulations. Due to the generality of the algorithmic approach developed, both kinematic and thermal/mechanical type material nonlinearity including inelastic effects can be treated. This includes the possibility of handling completely general thermomechanical boundary conditions. To demonstrate the scheme, the results of several benchmark problems is presented.
    Keywords: STRUCTURAL MECHANICS
    Type: Journal of Thermal Stresses (ISSN 0149-5739); 7; 3-4; 227-257
    Format: text
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  • 2
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    Extension of constrained incremental Newton-Raphson scheme to generalized loading fields (1984)
    In:  Other Sources
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    Publication Date: 2019-06-28
    Description: This paper develops numerical strategies which enable the constrained incremental Newton-Raphson scheme to handle the static response of structure to loading fields with completely generalized histories. This is made possible through the use of specially warped hyperelliptic constraint surfaces which control successive or clustered load steps in the vicinity of loading events with specific timing schedules. Such an approach enables improved convergence and stability characteristics. Due to the generality of the methodology, pre- and postbuckling behavior caused by both kinematic and material nonlinearity can be handled. To demonstrate the scheme, the results of several bench-mark problems are also presented. These include situations involving nonlinear kinematics as well as highly history-dependent elastic-plastic and thermoelastic-plastic material behavior.
    Keywords: STRUCTURAL MECHANICS
    Type: Franklin Institute, Journal (ISSN 0016-0032); 318; 165-186
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  • 3
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    Similarity solutions of a strong shock wave propagation in a mixture of a gas and dusty particles (1980)
    In:  Other Sources
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    Publication Date: 2019-06-28
    Description: The similarity solutions of a strong shock wave propagation in a mixture of a gas and small solid particles have been investigated. Similarity solution exists only when the shock is very strong and the surrounding medium is of a constant density and at rest and with negligible counterpressure. The non-dimensional fundamental equations are derived and studied. The results depend on three non-dimensional parameters; i.e. (1) the ratio of the specific heats of the gas, (2) the mass concentration of the solid particles in the mixture and (3) the ratio of the density of the solid to that of initial density of the gas. Numerical solutions for various values of these parameters are presented and discussed. The speeds of the shock wave front and its location with various energy releases are given.
    Keywords: STRUCTURAL MECHANICS
    Type: International Journal of Engineering Science; 18; 12, 1; 1980
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  • 4
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    Influence of local fiber undulations on the global buckling behavior of filament-wound cylinders (1993)
    In:  Other Sources
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    Publication Date: 2019-07-13
    Description: The predicted compressive stiffness and buckling strength of filament-wound cylinders using classical lamination theory is significantly higher than those observed experimentally. This discrepancy is partially influenced by the variation of mechanical properties in the region of fiber undulations. These regions are localized geometric defects intrinsic to the filament-winding, weaving, and braiding processes. In the present work, the average mechanical properties of the fiber undulation region are quantified using modified models of woven-fabric composites to account for the 3-dimensional effects. The mechanical properties thus determined can be incorporated as local element properties into global finite-element models. Preliminary results from large-displacement analyses of filament-wound cylinders are relatively more accurate when fiber undulations are accounted for.
    Keywords: STRUCTURAL MECHANICS
    Type: Journal of Reinforced Plastics and Composites (ISSN 0731-6844); 12; 8; p. 865-875.
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