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An Asymptotic Solution of a Rotating Disk
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The solution of the problem of a thin circular disk rotating at a constant angular velocity about its axis is obtained as a formal power series of the thickness-diameter ratio. The matching ...
The Strongest Circular Arch—A Perturbation Solution
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We consider the problem of determining that shape of circular arch which has the largest critical buckling pressure of all circular arches of given radius, central angle, and volume. The problem ...
The Contact of a Cuspidal Crack
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A simplified airfoil mapping is used to define a cuspidal crack. The objective is to investigate the effects of compressive loads on an infinite solid containing crack-like flaws. Such an ...
Unconventional Internal Cracks, Part 2: Method of Generating Simple Cracks
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The meaning of the word crack is extended to include holes with cusps of vanishing cusp angle. A crack is said to be simple if the associated elasticity problem has a closed-form solution. ...
Unconventional Internal Cracks, Part 1: Symmetric Variations of a Straight Crack
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The composite mapping function of successive mappings by rational functions is rational but may have poles at more than one location. This method may be exploited to generate many, many new ...
Fracture Under Combined Loads by Maximum-Energy-Release-Rate Criterion
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The title problem is studied for the cases: (1) crack-perpendicular tension and crack-parallel shear, (2) plane biaxial load, (3) crack-parallel shear and antiplane shear, and (4) unidirectional ...
Nonlinear Wrinkling of Nonlinear Membranes of Revolution
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The general problem of nonlinear wrinkling of nonlinear membranes of revolution is considered. The theory is applicable to membranes made of any nonlinear material although only Mooney material ...
Discussion: “Maximal Crack Tip Shielding by Microcracking” (Ortiz, M., and Giannakopoulos, A. E., 1989, ASME J. Appl Mech., 56, pp. 279–283)
Publisher: The American Society of Mechanical Engineers (ASME)
Stress and Notch-Stress Concentration Induced by Slight Depressions and Protrusions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The presence of a smooth depression on the surface of a stretched half-plane magnifies the surface stress at the trough of the depression. Similarly, the stress at the foot of a smooth ...
Plane Anisotropic Thermoelasticity
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The problem is formulated in terms of the three pairs of eigenvalues of the elasticity constants and the pair of eigenvalues of the heat conduction constants. Special attentions are given to ...