By removing the axial shear mode in the foregoing, a theory equivalent to the Mindlin-Herrmann theory for circular bars is obtained. Discussion ofhis paper was reported in the ASMEJournal ofApplied Mechanics, Transactions ofthe American Society OfMechanical Engineers, June 1952, pages 233 234 as described on the following pages. Use is made of the computational method of the fast Fourier transform. Of particular interest are the mixed-mode stress-intensity factors associated with the delamination crack. Design sensitivity analysis and optimization is the ultimate goal. The solutions are obtained conveniently in the phase plane by Picard's method and by straightforward numerical integration. ASME.org Community Rules. The technique consists in reducing a given initial value problem defined over some interval into a sequence of initial value problems defined over a set of subintervals. The method possesses advantages in studying systems with severe nonlinearities and is easily applied to systems with harmonic (or, more generally, periodic) excitation. motion of rigid bodies some assumptions are not explicitly stated. As a check of the theoretical result, the simplest example for a rectangular tank is given, and the results are in good agreement Kith experiments and a third-order theory by Yarynwovych. The purpose is to outline a computational approach to spatial dynamics of mechanical systems that substantially enlarges the scope of consideration to include flexible bodies, feedback control, hydraulics, and related interdisciplinary effects. Robotics and Automation, 2000. Turbulent swirling flows in stationary cylindrical ducts were investigated analytically using Taylor’s modified vorticity transport theory and von Karman’s similarity hypothesis extended to consider a three-dimensional fluctuating velocity field. This approach requires a nonlinear formulation of the problem and the equations of motion are solved using Krylov-Bogoliubov's method. Monthly in 2015. The results elucidate unique and important characteristics of delamination crack-tip response and interlaminar stress transfer mechanisms. Find eBooks, journals, and proceedings papers, The American Society of Mechanical Engineers. The results showed that the back stress effect of reverse inelastic flow on the unloading stress is orientation-dependent, and a back stress state variable in the inelastic flow equation is necessary for predicting inelastic behavior. A class of axially symmetric problems, concerning a highly elastic, circular rubber sheet with (a) a centered circular hole, (b) a rigid circular inclusion under outward radial loading at outer boundary, and (c) a rigid outer boundary and a concentric hole under inward radial loading around the hole, is solved. Specially designed experiments have been conducted to evaluate the existence of back stress in single crystals. Applied Mechanics Reviews ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering ASME Letters in Dynamic Systems and Control Practical Techniques for Estimating the Accuracy of Finite-Difference Solutions to Parabolic Equations. Nonlocal Effect on Stiffness Measurements of a Collagen Molecule. The lowest critical dynamic pressures are associated with shock positions downstream from the panel, where the panel is uninfluenced by the shock. It is demonstrated that the effect of nonlocal elasticity on the stiffness of collagen molecules can be neglected.
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