Crack tip stress study for elastic-perfectly plastic materials with some applications

The problems of plasticity and non-linear fracture mechanics have been generally recognized as the most difficult problems of solid mechanics. The present dissertation is devoted to some problems on the intersection of both plasticity and non-linear fracture mechanics. The crack tip is responsible for the crack growth and therefore is the focus of fracture science. The problem of crack has been studied by an army of outstanding scholars and engineers in this century, but has not, as yet, been solved for many important practical situations. The aim of this investigation is to provide an analytical solution to the problem of plasticity at the crack tip for elastic-perfectly plastic materials and to apply the solution to a classical problem of the mechanics of composite materials.^ In this work, the stresses inside the plastic region near the crack tip in a composite material made of two different elastic-perfectly plastic materials are studied. The problems of an interface crack, a crack impinging an interface at the right angle and at arbitrary angles are examined. The constituent materials are assumed to obey the Huber-Mises yielding condition criterion. The theory of slip lines for plane strain is utilized. For the particular homogeneous case these problems have two solutions: the continuous solution found earlier by Prandtl and modified by Hill and Sokolovsky, and the discontinuous solution found later by Cherepanov. The same type of solutions were discovered in the inhomogeneous problems of the present study. Some reasons to prefer the discontinuous solution are provided. The method is also applied to the analysis of a contact problem and a push-in/pull-out problem to determine the critical load for plasticity in these classical problems of the mechanics of composite materials.^ The results of this dissertation published in three journal articles (two of which are under revision) will also be presented in the Invited Lecture at the 7$\rm\sp{th}$ International Conference on Plasticity (Cancun, Mexico, January 1999). ^

A phenomenology of crack abuse

The aim of this dissertation is to identify, describe, and explain the common experiences defining the crack abuser's life-world. Its method is phenomenological. Using basic cybernetic premises, a neurophysiologically oriented phenomenological framework concerning the constitution of thoughts, memories, and perceptions is first written. The framework is designed to hypothetically represent the neuropathology of crack abuse within a perspective that prescinds and describes the constitution, flow, and interdependence of experience. After the framework is written, the dissertation outlines the neuro-psychopharmacology of crack abuse and delimits crack abusers as a specific group within the more general population of cocaine users. It then represents the neuropathology of crack abuse within its phenomenological framework and uses the first-person accounts of forty-two crack dependents to actualize a phenomenological sketch of the crack abuser's life-world. The ethnographies afford the possibility of writing a “thick” description of the crack abuser's daily life—one that communicates the substance, order, and subjective and cultural dimensions of the dependent's defining experiences. ^ The dissertation's goals are successfully realized. The framework written and the ethnographies recorded and transcribed, the dissertation is able to identify, describe, and to a certain extent explain some of the common experiences defining the crack abusers life-world. The dissertation concludes that the crack abuser's life-world is organized around three primary and four secondary experiences. His primary experiences include: (1) an almost complete, yet fleeting, satisfaction of the ego's innate insufficiency and sublime, erotic-like stimulation of its core, (2) a fundamental inclination and expansion of the uniquely oriented euphoria-dysphoria dynamic that vivifies and orients the flow of consciousness, and (3) a change in the ego's innate structure. His secondary experiences include: (a) a characteristic aiming of projects, actions, and conduct toward the procurement and consumption of crack, (b) a denigration in the hold of legitimations and institutionalizations on the thematic field, (c) a strict alignment and a contraction in the scope of logical types pointing to the salient experiences within the stock of knowledge, and (d) for some crack abusers, ontological insecurity, despair, and exhaustion. ^