Theory of elasticity and plasticity: D. E. R. Godfrey
01 Mar 1970-International Applied Mechanics (Kluwer Academic Publishers-Plenum Publishers)-Vol. 6, Iss: 3, pp 334-335
About: This article is published in International Applied Mechanics.The article was published on 1970-03-01. It has received 119 citations till now.
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01 Jan 1974TL;DR: In this paper, the authors introduce concepts and mathematics of Elasticity in Cartesian Coordinates, and three-dimensional equations of elasticity in the plane and the polar coordinates.
Abstract: Introductory Concepts and Mathematics. Theory of Deformation. Theory of Stress. Three--Dimensional Equations of Elasticity. Plane Theory of Elasticity in Rectangular Cartesian Coordinates. Plane Elasticity in Polar Coordinates. Prismatic Bar Subjected to End Load. General Solutions of Elasticity. References. Bibliography. Index.
409 citations
TL;DR: In this article, the deformation of a solid elastic sphere which is immersed in a viscous fluid and in close motion toward another sphere or a plane solid surface is analyzed via asymptotic and numerical techniques.
Abstract: The dynamic deformation of a solid elastic sphere which is immersed in a viscous fluid and in close motion toward another sphere or a plane solid surface is presented. The deformed shape of the solid surfaces and the pressure profile in the fluid layer separating these surfaces are determined simultaneously via asymptotic and numerical techniques. This research provides the first steps in establishing rational criteria for predicting whether a solid particle will stick or rebound subsequent to impact during filtration or coagulation when viscous forces are important.
378 citations
TL;DR: In this article, a high-density polyethylene (pe) pipe-rig was used to collect pressure and circumferential strain data, and the pipe material presented a typical viscoelastic mechanical behaviour with a sudden pressure drop immediately after the fast valve closure, a major dissipation and dispersion of the pressure wave, and transient mechanical hysteresis.
Abstract: The mechanical behaviour of the pipe material determines the pressure response of a fluid system during the occurrence of transient events. in viscoelastic pipes, typically made of polyethylene (pe), maximum or minimum transient pressures are rapidly attenuated and the overall pressure wave is delayed in time. this is a result of the retarded deformation of the pipe-wall. this effect has been observed in transient data collected in a high-density pe pipe-rig, at imperial college (london, uk). several transient tests were carried out to collect pressure and circumferential strain data. the pipe material presented a typical viscoelastic mechanical behaviour with a sudden pressure drop immediately after the fast valve closure, a major dissipation and dispersion of the pressure wave, and transient mechanical hysteresis. the creep-function of the pipe material was experimentally determined by creep tests, and, its order-of-magnitude was estimated based on pressure-strain data collected from the pipe-rig. a goo...
201 citations
TL;DR: A review of the development and usages of internal state variable (ISV) theory is presented in this article, where the history of different developments leading up to the formulation of the watershed paper by Coleman and Gurtin is discussed.
178 citations
TL;DR: In this paper, a computer simulation of the evolution of random structures of spherical particles has been performed by solving Newton's equations of motion, where the forces considered are gravity, Hertz contact force, frictional force, and van der Waals interaction (VDWI).
Abstract: A computer simulation of evolution of random structures of spherical particles has been performed by solving Newton’s equations of motion. The forces considered are gravity, Hertz contact force, frictional force, and van der Waals interaction (VDWI). 948 monosized particles were placed without overlapping inside a rigid cylindrical container by generating the coordinates of the centers of the particles with the help of a random number generator. The initial packing density was only 0.363. The particles were allowed to settle under gravity. When the coefficient of friction (μ) among the particles and between the particle and the wall of the container was 0.3, the packing density reached a value of 0.578. If there is no friction, the density reached 0.633 which is comparable to the random close‐packed density obtained in the random structures of steel ball bearings. For small particles, VDWI can reduce the packing density by agglomeration of particles into local clusters. For example, with VDWI and μ of 0.3...
114 citations