Showing papers in "International Journal of Solids and Structures in 1987"

TL;DR: In this article, a dual framework for elastic cap damage was proposed, where a strain-and a stress-based approach was employed, and a viscous regularization of strain-based, rate-independent damage models was also developed.

TL;DR: In this article, the problem of flat-ended cylindrical, quadrilateral, and triangular punches indenting a layered isotropic elastic half-space is considered, and solutions are obtained numerically.

TL;DR: In this paper, a simple method of stress analysis in elastic solids with many cracks is proposed, based on the superposition technique and the ideas of self-consistency applied to the average tractions on individual cracks.

TL;DR: In this paper, the authors developed continuum isotropic and anisotropic elastoplastic-damage models, formulated either in strain space on the basis of the effective stress concept, or in stress space and employing the dual notion of effective strain.

TL;DR: In this paper, a model for predicting the thermomechanical constitution of elastic composites subjected to both monotonic and cyclic fatigue loading is presented, where the damage is characterized by a set of second-order tensor valued internal state variables representing locally averaged measures of specific damage states such as matrix cracks, fiber-matrix debonding, interlaminar cracking, or any other damage state.

TL;DR: In this paper, a constitutive model for predicting the thermomechanical constitution of initially elastic composites subjected to both monotonic and cyclic fatigue loading was developed, where the damage is characterized by a set of second-order tensor valued internal state variables representing locally averaged measures of specific damage states such as matrix cracks, fiber-matrix debonding, interlaminar cracking, or any other damage state.

TL;DR: In this article, the relevant weight functions of all three modes are represented in closed form with the aid of elementary transcendentals, and their derivation as displacements of fundamental fields is simple and without recourse to integral transforms of any kind.

TL;DR: In this article, a new high-order laminated composite plate theory was developed based upon Reissner's new mixed variational principle, and a zig-zag shaped C0 function and Legendre polynomials were introduced into the approximate in-plane displacement distributions across the plate thickness.

TL;DR: In this paper, the authors derived an invariant expression for the stress conjugate to the logarithmic strain in the case where the principal stretches are repeated, as well as for the cases where they are all distinct.

TL;DR: In this paper, the two-dimensional quasi-static stress analysis of a layer on an elastic half-space under combined normal and sliding cylindrical contact is studied, and results are presented for the stresses in both the layer and halfspace and contrasted with the case of a homogeneous medium.

TL;DR: In this paper, self-consistent estimates for stiffness reduction are obtained for a variety of crack shapes and orientation distributions, in terms of a common measure of crack density which allows different crack systems to be compared.

TL;DR: A geometrically nonlinear theory is used to study the relationship between temperature and curvature of unsymmetric elevated temperature cure graphite-epoxy laminates as discussed by the authors.

TL;DR: In this paper, the authors proposed a simple yet realistic model for the mechanical behavior of geologic materials such as concrete and rock, where the effect of structural changes in such materials is addressed and incorporated in the theory through a tensor form of a damage variable.

TL;DR: In this article, a long cylindrical elastic bar is partially embedded in a homogeneous elastic half-space and subjected to a harmonic axial load, and an efficient solution scheme based on Lagrange's equation of motion and a discretization technique is presented to solve the title problem.

TL;DR: In this paper, the potential representations and approximation of tractions on the microcracks by polynomials were used to analyze the interactions of a crack with an array of micro-cracks located near the tip.

TL;DR: In this article, the eigenvalue and lateral deflection of both the surface and middle plane of the plate, as well as the bending strains, are obtained in the form of series expansions in even powers of plate thickness.

TL;DR: In this paper, a mathematical model for the coupling between moisture diffusion and damage in fiber-reinforced, polymeric composites is presented, which employs concepts of continuum damage theory to describe those debondings.

TL;DR: In this article, the effect of shear deformation on dynamic instability of simply supported antisymmetric angle-ply rectangular plates is considered, and the boundaries of the principal instability region are conveniently represented in the plane "non-dimensional excitation frequency squared-nondimensional load amplitude".

TL;DR: In this article, the loss of stiffness due to penny-shaped cracks associated with fiber breaks in a unidirectional composite is the main theme of the paper, and explicit results are given for the non-trivial Hashin-Shtrikman bound together with the estimates obtained from the self-consistent and differential schemes.

TL;DR: In this paper, three-layer sandwich beams, made of two elastic outer layers and a viscoelastic layer sandwiched between them, are considered as damping structural elements, and an equality constrained minimization algorithm is modified and used to obtain optimal design of damping sandwhich beams subjected to inequality design constraints.

TL;DR: In this paper, the least-weight design of perforated elastic plates in either flexure or plane stress for a prescribed compliance was investigated, and it was shown that at low rib densities microstructures consisting of a combination of first- and second-order infinitesimal ribs is superior to those consisting of purely first-order Infiniteimal ribs, while thin ribs of infinite length/thickness ratio do not contribute significantly to the stiffness in a direction normal to their plane.

TL;DR: An analytical solution for the problem of torsion of a prismatical bar of square cross-section of a micropolar (Cosserat) elastic solid is presented in this paper.

TL;DR: In this article, a variational principle is introduced for determining singular fields in finite bodies with unbounded strain energy, and a specialized form of this principle is employed to determine the Bueckner-Rice weight functions in two and three dimensions.

TL;DR: In this paper, the approach to crack-microcrack array interaction problems developed in Part I is applied here to two configurations involving one and two microcracks, which exhibit the important effects of stress "shielding" and stress "amplification" occurring in more complex microcrack arrays.

TL;DR: In this paper, a forming model that assumes rate-dependent plastic flow of the aluminum slabs was used to simulate the rolling behavior of the slabs and the resulting hardness was compared to measured yield strength for the same slabs.

TL;DR: In this paper, the authors analyzed the forced response of cylindrical shells in the presence of a two-to-one internal (autoparametric) resonance to a harmonic excitation having the frequency Ω.

TL;DR: In this paper, the elastic fields due to a spheroidal inclusion, which undergoes constant shear eigenstrains and a sphroidal inhomogeneity under uniform shear stress applied at infinity, are investigated.

TL;DR: For shells undergoing finite rotations, a general theory in terms of consistent displacement and force variables is formulated in this paper, which is then transformed by a variational procedure into consistent equilibrium equations and boundary conditions.

TL;DR: The mode I state of stress around a crack front, defined by the stress intensity factor K I, is well defined in this paper, and it is known that if the sharp crack is rounded by a radius ρ, small with respect to crack length and other dimensions, the maximum value for the stress σ y = K 1 /√( πρ ) becomes infinite at the vertex r = 0.

TL;DR: The Levy type solution procedure in conjunction with the state-space concept is used to determine the deflections and stresses for symmetric laminated composite plates with rectangular geometries by using a refined shear deformation theory as mentioned in this paper.