Showing papers in "Mechanics of Materials in 1987"

TL;DR: In this paper, a reconsideration and reformulation of the Mori-Tanaka's theory in its application to the computation of the effective properties of composites is presented, which is a straightforward exposition and interpretation of the method which are different than those existing in previous formulations.

TL;DR: In this article, the authors analyzed crack tip stress and deformation fields for tensile-loaded ideally plastic crystals and showed that the near-tip stress state is locally constant within angular sectors that are stressed to yield levels at a stationary crack tip and to change discontinuously from sector to sector.

TL;DR: In this article, a theoretical model for the linear elastic response of two-dimensional, spatially periodic cellular materials in simple shear and pure strain is developed, with three identical films intersecting at each junction.

TL;DR: In this article, the elastic field in the three-phase, spherically concentric solid due to a stress-free transformation strain in the inclusion is obtained, and the elastic energies of the solid under these transformations are also derived.

TL;DR: In this paper, a complete solution is given for a fully or partially bridged straight crack in transversely isotropic elastic materials which may correspond to unidirectionally fiber-reinforced ceramics or other brittle composites.

TL;DR: In this article, a finite element method simulation of crack propagation was used to study the effects of microcracking at facets as a damage process in brittle composites and the consequence for material toughness.

TL;DR: In this article, the authors focus on the formulation of a self-consistent process model for a perfectly elastic solid weakened by an ensemble of micro-cracks, restricted to the plane stress and strain, and monotonically increasing tensile loads.

TL;DR: In this article, a model for the restraining effect of second-phase inclusions on an advancing crack front in a brittle matrix is presented which incorporates a parameter characterizing the relative ease of cutting through or circumventing the second phase, compared with matrix cracking.

TL;DR: In this article, the authors summarized a number of general kinematical identities developed by the authors in early 1981 for finite deformations of continua, including relations between various spin tensors and the symmetric and antisymmetric parts of the velocity gradient, various material strain measures, and strain rates.

TL;DR: A theoretical framework for the analysis of localized failure in concrete is presented in this article, which is predicated upon the assumption that discrete failure planes arise as a result of a process of localization of damage.

TL;DR: In this paper, an extension of the method of causal differential media is given, which makes use of the concept of the generalized extinction cross section of inclusion in a lossy medium to evaluate the total effect of losses, and then resorts to the Kramers-Kronig relations to find the phase velocity.

TL;DR: In this paper, the longitudinal elastic modulus of a composite possessing dilute concentrations of aligned cylindrical fibers is calculated using a boundary value problem, referred to as the auxiliary problem, which yields the perturbed displacement field directly.

TL;DR: In this paper, a mathematical formulation for modeling the performance of a die design in a drawing operation is presented, which uses internal state variable constitutive equations to predict the plastic flow and microstructure development of metals during drawing operation.

TL;DR: In this article, the development of shear bands at the stretched surface of a bent plate is analyzed numerically, based on an approximate continuum model of a ductile porous material, which accounts for the nucleation and growth of voids as well as the effect of the yield surface curvature, represented by a combination of kinematic hardening and isotropic hardening.

TL;DR: In this article, an experimental technique is described for determination of dynamic tensile fracture strength of brittle solids, and the results show that the dynamic strength has a strong dependence on the strain rate.

TL;DR: In this article, a cylindrical rod specimen is first loaded in static triaxial compression, then the axial pressure is released from each end simultaneously and very rapidly, the resulting rarefaction waves interact in the center of the rod to produce a dynamic tensile stress equal in magnitude to the original static compression.

TL;DR: In this article, the impact of a rigid, plastic rod with a rigid anvil is analyzed as a one-dimensional problem and the material is assumed to strain-harden during plastic deformation and one hardening parameter is determined using post test measurements of the deformation.

TL;DR: In this paper, a new concept of defining the failure time in creep as that at which the slope of a straight line from the origin becomes a tangent to the creep curve in the tertiary creep region is proposed.

TL;DR: In this paper, a microscopic plasticity model for dilatant, pressure-sensitive, work-hardening materials undergoing rate-independent slip is presented and a variant of Coulomb's yield criterion is applied which includes the effect of hydrostatic pressure on slip.

TL;DR: In this article, a method is given for the prediction of the overall stress-strain response of elastoplastic solids containing a doubly periodic rectangular array of cracks.

TL;DR: In this article, the results of triaxial loading experiments performed to determine the fracture strength characteristics of granite subjected to truly three-dimensional loading were compared to the predicted values using the classical theories of Coulomb-Mohr and Drucker-Prager.

TL;DR: In this paper, it was shown that the strain rate of the wiredrawing process was ∈ = 1.0 sec−1 and the compressive stress reversal was done at two rates: ∈ −1.0sec −1 and −3sec−1.

TL;DR: In this paper, the space-averaging formalism of Anderson and Jackson is employed to develop a set of balance laws for a multicomponent mixture, and the interactions between the mixture components appear as surface integrals in the averaged balance laws.

TL;DR: In this paper, reference deformation is introduced on which the effect of elastic constraints is superposed to get the actual state of deformation in a bicrystal under a general boundary condition.

TL;DR: In this article, the authors proposed a method to estimate the useful life of a component subjected to constant load creep, using the total displacement or strain at any instant and the elapsed time.

TL;DR: In this article, a means of calculating the effective elastic moduli of a material with a colony-based microstructure is presented, where a two-step averaging process is employed in which the modulus of an individual colony are calculated using three-dimensional lamination theory and are then incorporated into a self-consistent scheme.

TL;DR: In this article, a constitutive equation of plastic deformation under tension-tension, strain controlled cyclic loading condition was derived from the transition state theory of rate processes, where the rate of plastic flow during cyclic deformation is controlled by a system of two consecutive energy barriers.