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Item Information   Holdings       More by this author     Griesmaier, Steven.     Subjects     Strains and stresses     Strength of materials     Elasticity     Statics     Vector analysis     MSE Project.     Browse Catalog     by author:      Griesmaier, Steven.       by title:      Stress-strain relati...         MARC Display

Stress-strain relations for granular aggregates / by Steven Griesmaier. by Griesmaier, Steven. Subjects Strains and stresses   Strength of materials   Elasticity   Statics   Vector analysis   MSE Project. Description:  116 leaves : ill. ; 29 cm. Contents:  Advisor: Dr. Vincent Prantil. Committee members: Dr. Douglas Stahl, Edward Griggs. Overview of triaxial compression -- Background: an overview of the Jenkins-Strack (1993) continuum mechanics model for granular aggregates -- Geometry problem: following the evolution of loss-of-contacting, deleting particles with strain -- Solution: ideal mechanical model and the method for tracking the contact deletion angle in forward and reverse strain paths -- Casting of results: evolution of fabric with shear strain -- Postulation of the effects of Α(θ) on average stress. In triaxial compression, the forward strain path in the evolution of the contact distribution, or evolving fabric, has been established in the Jenkins-Strack (1993) continuum model. Arbitrary, alternate reverse paths have not been studied. The focused area of research is confined to tracking the evolving fabric in the reverse "loading" strain path. We then postulate the effects of the fabric on average stress. An introduction on the forward "loading" straining equation and the solution of Jenkins-Strack's equation 42 is presented. Dr. V.C. Prantil, Department of Mechanical Engineering at MSOE, has numerically solved this trancendental function in terms of material parameters described as being proportional to the hoop strain and pure shear strain. He has modeled the applied strain to a granular material in triaxial compression as a manageable quadratic function of pure shear strain. This quadratic relation, key to this area of research, expresses the volumetric strain as a direct function of pure shear strain. We reasonably resolve how the probable contact distribution evolves about a central reference sphere when the load is removed and reverse "loading" straining is applied. The Jenkins-Strack (1993) formulation for particle deletion angle is applied along with a description of the evolving fabric as a function of contact angle theta, where a region of loss-of-contacting, deleting particles develop along the forward strain path. Particle contacts become re-initiated while following arbitrary, alternate reverse strain paths. Our solution uses relatively simple vector mechanics to track a contact point on a chosen reverse path within a naturally developed strain field. We ultimately take both the changing forward path deletion angle and the reverse-path-dependent re-initiation angle results and cast the evolving contact distribution as a complete strain circuit.   Copy/Holding information Location Collection Call No. Status   Walter Schroeder Library Master's Theses AC805 .G75 2005 Available Add Copy to MyList Format: HTMLPlain textDelimited Subject:   Email to:

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