Showing papers in "International Journal of Mechanical Sciences in 1970"

TL;DR: In this article, an infallible method of finding all required natural frequencies of undamped vibration of linearly elastic skeletal structures, when the members are analysed as continuous and uniform, using dynamic stiffnesses, and not as an approximately equivalent lumped-mass system, was described.

TL;DR: In this paper, the authors investigated the anomalous behavior of aluminium in uniaxial and biaxiaial tension and showed that anisotropic plasticity theory does not hold for all metals.

TL;DR: In this article, the superplastic deformation of thin circular diaphragms subjected to onesided hydrostatic pressure is examined both theoretically and experimentally both for simple geometry (domes) and more complex shapes related to those encountered in practical forming operations.

TL;DR: In this paper, an analysis for the stretch forming of circular blanks over hemispherical punch heads is presented assuming the punch to be well lubricated, the various physical quantities are derived in explicit forms and compared with experimental results.

TL;DR: In this paper, the mechanics of the belt drive is considered when the belt possesses a soft pliable envelope to grip the pulley and strong tension members to transmit the power, and it is concluded that shear strains in the belt envelope are a large factor in determining drive behaviour.

TL;DR: In this paper, an analysis for the bulging by lateral pressure of superplastic alloy sheet that has a flow equation, in uniaxial tension or compression, given by σ = K e m, where σ is the flow stress, e the strain rate and K and m are material parameters.

TL;DR: The stiffness and consistent mass matrices and their derivation for a thinwalled beam element of open cross-section with non-collinear shear center and centroid are given in this article.

TL;DR: In this article, the authors describe the phenomenon of superplasticity in metals and the behaviour of super-plastic alloys in simple tension, and the advantage of using these materials in forging processes and the possibility of developing vacuum forming, pressure forming and blow-moulding techniques similar to those used in the plastics industry is investigated.

TL;DR: In this paper, an elastoplastic analysis of plane-strain and axisymmetric flat punch indentation into a specimen of finite dimensions was made by the finite element method, using an improved finite-element representation.

TL;DR: In this paper, a number of methods for representing the losses in radial gas turbines for predicting the off-design performance are reviewed, and it is shown that reasonable predictions of the turbine performance may be made using one-dimensional theories if the nozzle gas exit angle is based on the cos−1(o/s) rule with some deviations due to rotor speed.

TL;DR: In this article, Galerkin's procedure is applied to determine the natural frequencies of a straight cantilever blade with an asymmetric aerofoil cross-section executing coupled-bending torsion vibrations.

TL;DR: In this paper, it is suggested that the size of a cone's included angle, not the type of deformation (cutting or rubbing) occurring in the flat, is the main factor which affects the sliding force.

TL;DR: In this paper, a solution for the buckling of a web-plate of a conventional plate girder under the action of a partial edge load applied in the plane of the web and perpendicular to the flange is presented.

TL;DR: In this paper, Arnold and Whitton have shown that the behavior of a metal sandwich in rolling may be represented by an equivalent flow stress related to the separate yield stresses and the volume fraction of the layers in the sandwich.

TL;DR: In this article, the reference stress for various structures to be evaluated using standard techniques of numerical analysis using a simple case of a rectangular beam in pure bending is demonstrated using the simple case.

TL;DR: In this article, a simple biaxial extensometer was used to measure the strength of a 4·5 in. circular diaphragm during hydraulic bulging of an anisotropic low carbon steel sheet.

TL;DR: In this paper, thin elliptical diaphragms of brass, copper and mild steel were bulged in elliptical dies having aspect ratios of 1·33, 2 and 4 and it was found that the diaphras ruptured either at the edge or at the pole depending on both the aspect ratio of the ellipse and the material properties.

TL;DR: In this paper, a comprehensive theory for axisymmetrical sheet metal deformation problems has been developed to predict the progress of the variables involved up to and at the onset of fracture in stretch forming.

TL;DR: In this article, the effect of a constant thermal gradient on the transverse vibrational frequencies of a simply supported rectangular plate is investigated and bounds for the eigenfrequencies are obtained for various plate width-to-length ratios as functions of a parameter related to the temperature dependence of the modulus of elasticity of the material.

TL;DR: In this paper, complete analytical solutions are obtained for rotating anisotropic annular disks with variable thickness for two cases: (i) an annular disk and (ii) a disk mounted on a circular rigid shaft.

TL;DR: In this paper, the creep rate at room temperature decreases with increasing copper content and varies by a factor of about 140 between 0 and 1·0% copper, while the peak in the m vs. e curve is not displaced by these copper additions above about 150°C.

TL;DR: In this article, the dynamic relaxation method is used to study the large deflexion of plates with small initial curvature, with the initial deflexions varying from 0·1 to 2·5 of the plate thickness.

TL;DR: In this article, one-dimensional equations describing the flow and pressure in a pneumatic transmission line are formulated and solved numerically without neglecting the nonlinear terms in the continuity and momentum equations.

TL;DR: In this paper, the static deflections of an annular plate and a complete circular plate both loaded by single concentrated forces are analyzed, and the results are compared with exact solutions, while the free vibrations of complete circular plates are also carried out and compared to exact solutions.

TL;DR: Differential equations for continua equivalent to space grids are derived by means of computer programs using first- and second-order approximations and their range of applicability discussed.

TL;DR: In this paper, a general formulation of the problem of optimal design with geometric constraints is presented, where the constraints define an admissible region in which the variable portion of a structure should be placed.

TL;DR: In this article, it was shown that a σ e curve can be obtained from torsion tests of a solid rod using an analysis similar to that used for obtaining secondary creep data from Torsion Tests.

TL;DR: In this paper, closed-form stress and deformation solutions for a rotating circular disk (radius b ) due to angular acceleration were obtained, where the disk is centrally mounted on a circular rigid shaft (radius a ).

TL;DR: In this article, the minimum-weight design of an elastic sandwich beam subject to the constraint that given loads and temperature changes produce a prescribed deflection at a specified cross-section is studied.