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Showing papers in "International Journal of Engineering Science in 1963"


Journal ArticleDOI
R.A. Toupin1
TL;DR: In this article, a theory of the electromagnetic field in moving, finitely deformed elastic dielectrics is developed and the equations for a weak field superimposed on a strong field and an arbitrary state of finite deformation are deduced.

254 citations


Journal ArticleDOI
TL;DR: In this article, a torque stress tensor is introduced, which is defined by torques acting through an area element and a material constant is derived which gives the ratio of the torque stress to the dislocation density or lattice-curvature.

209 citations


Journal ArticleDOI
TL;DR: In this article, a variational principle is introduced leading to the basic field equations, the boundary conditions and the constitutive equations of an elastic dielectric subject to large deformations and polarizations.

149 citations


Journal ArticleDOI
TL;DR: In this paper, the coupling of electromagnetic and elastic waves is considered from the standpoint of linear elasticity and a linearized electromagnetic theory, and the problem of plane waves traveling through a uniform magnetostatic field is considered and couplings of the waves are studied.

123 citations


Journal ArticleDOI
TL;DR: In this article, a solution for the infinite solid is obtained by the method of dual integral equations, expressed mainly in closed forms, singular round the edge of the crack, and the stress components in the plane of a crack are shown in curves.

114 citations


Journal ArticleDOI
TL;DR: In this paper, a nonlinear theory of elastic shells with small deformations whose material response is nonlinear is presented, and general constitutive equations are derived in which the geometrical properties (due to deformation) and the material characteristics are separable.

111 citations


Journal ArticleDOI
TL;DR: In this article, the distribution of stress in a long circular cylinder of elastic material when it is deformed by the application of pressure to the inner surfaces of a penny-shaped crack situated with its centre on the axis of the cylinder and its plane perpendicular to that axis is analyzed.

69 citations


Journal ArticleDOI
TL;DR: In this article, a velocity tensor and a density tensor of a continuous distribution of dislocations are derived by considering the dynamic behavior of the dislocation dynamics, and the stress and displacement fields are discussed by using Green's functions.

49 citations


Journal ArticleDOI
TL;DR: In this article, a non-linear generalization of Voigt, Maxwell, and other classes of viscoelastic solids and fluids is presented for rectilinear laminar flow between two heat reservoirs.

48 citations


Journal ArticleDOI
TL;DR: In this paper, an analysis of the distribution of stress in a long circular cylinder of elastic material when it is deformed by the application of pressure to the inner surfaces of a penny-shaped crack situated symmetrically at the centre of the cylinder is presented.

47 citations


Journal ArticleDOI
TL;DR: In this article, the authors considered the problem of producing combined elastic and electro-magnetic waves in an elastic semi-space by means of a thermal shock acting on the boundary of the semi space.

Journal ArticleDOI
TL;DR: In this paper, a new derivation of the general equations of the linear theory of elastic shells under the Kirchhoff-love hypothesis is presented, where the entire boundary value problem of shell theory is recast in terms of new variables for the strain measures as well as the stress and couple resultants.

Journal ArticleDOI
Kondo Kazuo1
TL;DR: In this paper, an extension of the three-dimensional analogue of Einstein's field equation in general relativity theory is derived, the analogue of the material energy tensor being given a thermodynamical interpretation.

Journal ArticleDOI
TL;DR: In this paper, equilibrium conditions for internal stresses are derived for a continuum in a linearly connected space with torsion and a corresponding stress space is defined, which is a generalization of the stress space studied by Minagawa in [1], [2], [3].

Journal ArticleDOI
H.S. Green1
TL;DR: In this article, a macroscopic theory of irreversible processes applicable to systems which are not near to equilibrium is developed, and a general formalism is developed for describing irreversible processes, without requiring the usual (approximate) linear relations between fluxes and forces.

Journal ArticleDOI
TL;DR: In this paper, the determination de diffusibilite d'un certain milieu isotrope is reduite a la resolution d'une simple equation differentielle lineaire de type elliptique par le choix approprie de conditions aux limites surspecifiees.

Journal ArticleDOI
TL;DR: In this paper, a steel disc of 12 in. outside diameter was centrally clamped while various combinations of transverse loads were applied at the outer edge, and a strain energy method was used for calculating the effect of these stresses on stiffness.

Journal ArticleDOI
TL;DR: A detailed analysis of axisymmetric deformation of elastic/plastic circular annular plates in the state of plane stress under combined pressure and couple (due to circumferential shear) at the inner boundary is presented in this article.

Journal ArticleDOI
TL;DR: In this article, the method of Green's function is applied to the quasi-static theory of shallow shells with heat conduction equations included, and solution formulae are derived for middle-surface displacements and stress and temperature resultants in terms of initial and edge temperatures, internal heat sources, ambient temperatures at the upper and lower surfaces, and surface tractions.

Journal ArticleDOI
TL;DR: In this paper, a method for solving linear boundary-value problems is outlined through the use of the linear-programming computational algorithm, which is equivalent to obtaining an approximate solution by a Chebyshev fit wherein the maximum error is minimized.

Journal ArticleDOI
TL;DR: In this paper, the motion of a single charged particle in magnetic and electric fields B and E is described by the basic non-relativistic equation of motion in which radiation damping is neglected.

Journal ArticleDOI
TL;DR: In this paper, a radial cut was made in the disc and stresses were calculated from the amount by which the cut opened, and good agreement was found between internal stress distributions in a 12 in diameter disc determined by the radial cut method and by the usual method of attaching strain gauges.

Journal ArticleDOI
TL;DR: In this paper, the conditions governing the motion of an elastic/plastic loading interface propagating into the elastic region with an associated acceleration (and strain-rate) discontinuity are set up.

Journal ArticleDOI
TL;DR: In this article, Thomsons Satz in der Elektrostatik wird aus dem zweiten Gesetz der Thermodynamik abgeleitet, welches gleichzeitig die Gleichgewichtsbedingungen fur das flussige Material zwischen den geladenen Korpern angibt.

Journal ArticleDOI
TL;DR: In this article, the authors explore the possibility of obtaining solutions which possess finite discontinuities on a surface and obtain general conditions for the existence of such surfaces, indicating that they are very likely to be material surfaces.

Journal ArticleDOI
TL;DR: In this article, the authors examined general properties of the equivalent inertia tensor and calculated it explicitly in the case of a cylindrical fuel tank, where the rigid body motion of a cavity determines an irrotational motion of the liquid filling its inside.

Journal ArticleDOI
TL;DR: In this paper, the transients due to uniform heat addition to the initially steady, sub-true-sonic one-dimensional flow of an ideal, inviscid, perfectly conducting compressible fluid are determined by the use of a linearization based on small heat addition.

Journal ArticleDOI
TL;DR: In this paper, an attempt is made to develop a general theory of the motion of a compressible fluid by means of the geometry of the general space propounded by Cartan based on the concept of area.

Journal ArticleDOI
TL;DR: In this paper, a modified perturbation theory, based on small area variations and valid for all flow speeds, is derived, and it is seen that the mentioned singularity masks the formation of secondary shocks.

Journal ArticleDOI
TL;DR: In this article, the propagation of electromagnetic waves along a circular cylindrical waveguide containing a holohedral isotropic material under the influence of applied static, electric and magnetic fields was investigated.