Showing papers in "International Journal of Engineering Science in 1969"

TL;DR: In this paper, an analytic derivation for high-accuracy triangular finite elements useful for numerical solution of field problems involving Laplace's, Poisson's, Helmholtz's, or related elliptic partial differential equations in two dimensions is given.

TL;DR: In this article, a thermomechanical theory of a diffusing mixture of elastic materials is presented, and the kinematics of motion and the equations of balance for a mixture of n bodies are discussed.

TL;DR: In this paper, a theory of thermodynamics for elastic materials with microstructure is presented, in which the microdeformations, the microelements of the continuum possess microtemperatures.

TL;DR: In this paper, an equations of motion, constitutive equations, and boundary conditions for a class of micropolar fluids which can stretch or contract are derived for a set of microelements of such fluids.

TL;DR: In this article, the problem of the plane circular crack in a homogeneous and isotropic elastic body under uniform uniaxial tension normal to the plane of the crack is considered within the linearized couple-stress theory.

TL;DR: In this paper, the two-dimensional parallel shear flow of a linear micropolar fluid is analyzed and compared with the colloid suspensions, and the suspended macro-molecules are considered as nuclei of eddy motions representing micro-rotation in macro-volume element.

TL;DR: In this paper, exact solutions are obtained for certain dual trigonometric series that arise in the study of mixed boundary value problems with circular boundaries, in two-dimensional elasticity.

TL;DR: In this article, a general solution for spherical inelastic inclusion in infinite elastic or viscoelastic matrix, with uniform fields of stress or strain at infinity, is given.

TL;DR: In this paper, a continuum model for describing the plastic-elastic behavior of a composite material consisting of a plasticelastic matrix reinforced by strong elastic fibres is proposed, and the yield condition and constitutive equations are formulated for the material treated as a plastic elastic continuum.

TL;DR: In this article, a set of three stress functions which are useful in solving three-dimensional elastostatics problems in general cylindrical coordinates and, in particular, non-axisymmetric problems in circular cylinders is introduced.

TL;DR: In this article, a non-isothermal finite linear theory of viscoelasticity for simple solids with fading memory was developed, motivated by the theory of simple materials with fading memories.

TL;DR: In this paper, the internal energy of elastic dielectrics is assumed to depend on polarization gradients in addition to deformation gradients and polarization, and the field equation, jump conditions and constitutive equations are obtained by a variational principle.

TL;DR: In this paper, the dynamic response of a simply supported rectangular plate is treated within the framework of classical, three-dimensional elasticity theory, and an exact solution in series form is given, and a comparison of this solution with previously obtained corresponding solutions within the classical and improved plate theories is also presented.

TL;DR: In this article, it was shown that the problem of determining the crack energy and the stress intensity factor for a cruciform crack deformed by internal pressure can be reduced to that of solving an infinite system of simultaneous linear algebraic equations.

TL;DR: In this article, the authors prove a dynamic uniqueness theorem for a mixture of two linear anisotropic elastic solids subject to mild restrictions, where the solids are allowed to move relative to each other and the mixture possesses internal friction because of this relative motion.

TL;DR: In this paper, the plane flow between two plates of a fluid containing rigid structures is examined analytically, and profiles of the velocity and micro-rotation for a wide range of values are given.

TL;DR: In this paper, an analysis of the distribution of stress in a semi-infinite elastic solid when it is deformed by the application of pressure to the inner surface of a penny-shaped crack situated parallel to the free boundary is presented.

TL;DR: In this article, the reciprocity theorem is derived without using the Laplace transform, and two variational theorems which fully characterize the solution of the mixed problem are given.

TL;DR: In this paper, the propagation conditions and growth equations which govern the propagation of waves in micropolar viscoelasticity are derived and discussed, and the couplings between the discontinuities in the macroscopic and microscopic fields are studied.

TL;DR: In this article, the neutral equilibrium of arbitrary elastic shells is derived, which involve no displacement components and thus complement alternate sets of neutral equilibrium equations proposed by Koiter and Budiansky, which are specialized to a uniformly loaded circular cylindrical shell and reduced to a single partial differential equation.

TL;DR: In this paper, the forced vibration of an elastic stratum produced by a rigid circular disc attached to its free surface and oscillating about an axis normal to the surface was considered, and the mixed boundary value problems were reduced to Fredholm integral equations by Noble's method.

TL;DR: In this paper, the authors obtain the complete solution of the Ericksen's problem for the ease of plane deformations with uniform transverse stretch, using a novel and convenient parameterization of the deformation gradient field.

TL;DR: In this paper, the authors examined the conditions under which Squire's theorem on the stability of parallel flows is valid for Rivlin-Ericksen fluids and showed that the effects of viscoelasticity on in-plane and out-of-plane disturbances may be quite different.

TL;DR: In this paper, the Stokes flow due to the slow steady rotation of a sphere in a micro-polar liquid which can sustain anti-symmetric stress and couple stress is investigated.

TL;DR: In this paper, the axially symmetric elasticity problem with a straight fiber imbedded into an infinite matrix is considered, and the numerical results include the stresses along the bonded interface and the strain energy release rate per unit fracture area resulting from the axial propagation of the cracks.

TL;DR: In this paper, the authors considered the compression under an axial load of an elastic rectangle in contact with two identical elastic half-spaces in conditions of plane strain Continuity of the stress and displacement components at the interface leads to simultaneous integral equations from which the inter-facial tractions are determined.

TL;DR: For arbitrary constitutive functions, invariance under proper orthogonal transformations of the spatial variables leads to a system of linear or quasi-linear first order partial differential equations.

TL;DR: In this paper, an isotropic elastic half-plane is used as a model for studying theoretically and experimentally the transmission of stresses associated with Rayleigh waves, which is analogous to a well known problem in potential theory.

TL;DR: In this paper, a Lagrangefunktion fur die allgemeine Versetzungstheorie angegeben is introduced, with denen die Bewegungsgleichungen des linearen Cosserat-kontinuums identisch erfullt werden.

TL;DR: In this paper, the authors considered the case of coplanar penny-shaped cracks with constant shear loadings and showed that the problem of finding the solution to infinite sets of Fredholm integral equations of the second kind is solvable iteratively.