Showing papers in "International Journal of Engineering Science in 1972"

TL;DR: In this article, a theory of non-local elasticity is presented via the vehicles of global balance laws and the second law of thermodynamics via the use of a localized Clausius-Duhem inequality and a variational statement of Gibbsian global thermodynamics.

TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.

TL;DR: In this article, the dispersion relations for one dimensional plane waves were obtained by fitting the nonlocal material moduli to exactly the acoustical branch of elastic waves within one Brillouin zone in periodic one dimensional lattices.

TL;DR: In this article, a semi-infinite crack under concentrated wedge loading is considered and a tentative fracture criterion dealing with the initiation of fracture propagation is proposed, where the Mellin transform in conjunction with dislocations is used to formulate the problem and derive the integral equation.

TL;DR: In this paper, a new boundary condition, motivated by an analogy with phenomenological theories of turbulence, is proposed for plane or axisymmetric stagnation point flow of a micropolar fluid over a flat plate.

TL;DR: In this article, a self-consistent, asymptotic expansion of the one-point, mean turbulent equations of motion is obtained, and a systematic ordering of the mean velocity boundary layer equations and their interaction with the main stream flow are obtained.

TL;DR: In this article, a numerical method was used to obtain the stress intensity factor for a crack near an inclusion, and the results for the variation of stress intensity with the distance of the crack tip from the inclusion were shown graphically.

TL;DR: In this article, a new set of variational principles, of displacement, canonical or complementary energy types, was derived from the use of the polar decomposition theorem of the jacobian.

TL;DR: In this paper, a continuum theory of nonlocal fluid dynamics is proposed and the balance laws, jump conditions and the constitutive equations are obtained generalizing classical stokesian fluids to include the nonlocal effects.

TL;DR: In this paper, a constitutive theory of memory-dependent anisotropic and isotropic microelastic solids and microfluid fluids is developed by using the second law of thermodynamics and the principle of fading memory.

TL;DR: In this article, a constitutive theory for thermodynamic fluxes in terms of variational derivatives of a convex functional was proposed, which assumes its absolute minimum at Xa = 0, and it is shown that 0 ⩽ P ⩾ Φ [W;2X]−Φ[W;X] for all Xa and for all additional parameters Wα, and hence we have identical satisfaction of the Second Law of Thermodynamics.

TL;DR: In this paper, an exact solution of the frequency equation for plane thermoelastic waves is given and the range of validity of approximate solutions for large and small frequencies is also given and numerical verification is presented.

TL;DR: In this article, the axially symmetric elastostatic problem for a layer bonded to a half space with different material properties is considered and the solution of the problem is reduced to that of a system of singular integral equations of the second kind.

TL;DR: In this paper, the authors make use of a Mellin transform technique to find formulae expressing the stress intensity factor and crack energy of a radial crack in a finite elastic disc directly in terms of the solution of a Fredholm integral equation.

TL;DR: In this article, the connection between the lattice dynamics of molecular crystals and the theories of polar continua is indicated, and the concepts in microrotation theories with and without stretching are interpreted in view of molecular crystal and the method to calculate the material coefficients for micropolar theory of the continua from optical (Raman or infrared) experiments is indicated.

TL;DR: In this paper, the general form of nonlinear, anisotropic, elastic, constitutive equations for micromorphic and micropolar mixtures are developed. And the field equations are developed for the case of restricted coupling, and with these the propagation of a plane wave is studied.

TL;DR: In this paper, the extent of the contact area between a beam and an elastic half-space is determined by an approximate technique, where the beam and the elastic half space are assumed unbonded to each other.

TL;DR: In this paper, the problem of determining the stress intensity factor and crack formation energy of an edge crack in a finite rotating elastic disc is reduced to the solution of a Fredholm equation.

TL;DR: In this paper, Biot's theory of consolidation is applied to beam-like structural elements by using the procedure of Michell, consisting of representation of stress and deformation components as rational integral functions of the axial coordinate z.

TL;DR: In this paper, the second-order elasticity problem is reduced to the solution of an equation of the form E 4 ψ = ƒ(R, Z) where E 2 is Stokes' differential operator, R, Z are cylindrical polar coordinates, and depends only on the first-order solution.

TL;DR: In this article, a finite integral transform (FIT) based analytical solution for a large class of heat transfer problems was found in form of infinite series and contains quasi-steady and transient terms.

TL;DR: In this article, the authors make use of a recent advance in the theory of Mellin transforms to find the stress intensity factors and crack energy of a symmetric array of edge cracks in a circular cylinder under torsion.

TL;DR: In this article, the problem of a uniformly propagating finite crack in a strip of elastic material is solved using the dynamic equations of elasticity in two-dimensions, and two specific conditions of loading on the strip with finite width are discussed.

TL;DR: In this article, the diffraction of normally incident compressional and antiplane shear waves by a Griffith crack in an infinite isotropic elastic medium is considered, and the stress intensity factors as well as the maximum crack openings are expressed in series of ascending powers of the normalized wave number.

TL;DR: In this article, the authors analyzed the stresses in a model of the periodontal ligament of a maxillary central incisor, which is assumed to be of paraboloidal shape, uniform thickness, and of a homogeneous, isotropic, and linearly elastic material.

TL;DR: In this article, the authors used the stress fields derived by Head for edge dislocation in a bimetallic medium to generate integral equations for the dislocation densities associated with cracks and pile ups in Bimetallic media.

TL;DR: In this paper, the kinematics, balance laws, and constitutive theory for a general nonlinear theory of rods are given, with special attention devoted to thermoelasticity, constrained motions, problems, and comparison with other theories.

TL;DR: In this article, the authors considered a model where a semi-infinite crack begins to grow with a uniform velocity at time t = 0 in a linear viscoelastic solid and evaluated the time variation of the stress-intensity factor as a function of crack velocity and material properties.

TL;DR: In this paper, two coplanar cracks in an infinite transversely isotropic medium were analyzed by using a solution of an equilibrium equation expressed by displacements under plane problem.

TL;DR: In this article, the exact expressions for stress and displacements around an edge dislocation and the elastic energy were calculated for the couple stress theory, and the influence of couple stresses on the elastic properties of a dislocation was studied as a function of the material constant l.