Polymeric methylenebis(phenylisocyanate) (pMDI) has increasingly been used in the wood particulate composite industry. Wood composites, especially oriented strand board (OSB) are made with many variations of wood species. Little research has been done to investigate how pMDI adhesion has been affected by species. The present is divided into two parts. First, mode I fracture mechanics and surface free energy analysis was performed to investigate differences in adhesion between southern yellow pine and yellow-poplar bonded with pMDI. Secondly, an improvement in the synthesis of 13C, 15N labeled pMDI is discussed. Mode I fracture results show that pMDI adhesion was affected differently by southern yellow pine compared yellow poplar. The shear energy release rate was significantly higher in pine/pMDI composites than in yellow poplar/pMDI composites. The total surface energy of southern yellow pine was shown to be significantly greater than yellow poplar. The free energy of adhesion (DG) of the pine/pMDI and the poplar/pMDI was investigated. The DG indicated that the pine/pMDI system would take more energy to separate compared to the poplar/pMDI system. Lastly, a double-labeled 13C, 15N pMDI adhesive was successfully synthesized to produce Solid-State NMR composites. / Master of Science

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The finite element method has been demonstrated previously to provide an effective means for the analysis of two dimensional elastic and plastic continua. The method is applied herein to the axially symmetric, solid, and is extended to fracture analysis. The numerical analysis may be broken into three parts. The first involves the role of linear elasticity, the second deals with the elastic-plastic deformations, and the third is concerned with the interaction between such deformation and the fracture process. For the finite solid element method, the crack is thought to initiate below the surface of a notch, approximately in the region of highest triaxiality of the stress σ_ii under the ultimate load, rather than at the root of the notch. Thus the maximum value of σ_ii at ultimate load becomes the assumed criterion for the first phase of the fracture; i.e., the brittle fracture. The crack propagates inward and outward until the octahedral shear stress 𝜏_C, in the remainder of the cross section are above the triaxial stresses. At this stage, the specimen fails in shear and a shear lip forms at the root of the notch, provided it is not exceptionally sharp, and at the inner circumference of the hole of the hollow notched specimens. Thus 𝜏_C becomes the criterion of fracture during this second stage. For the lattice analogy method, the fracture is assumed to progress as each critically stresses member reaches its ultimate and is deleted from the remaining assembly. Both the finite solid element method and the lattice analogy method are used to analyze numerically the solid and hollow notched tensile specimens with the ultimate load held constant during fracture. The finite solid element analysis was also made with this load decreased so as to keep σ_ii and/or 𝜏_C constant at their original maximum values. Comparisons with analytical and exp7rimental results are made and found to be satisfactory. / Ph. D.

It is known that the classical inverse square root singularity used in Linear Elastic Fracture Mechanics (LEFM) is lost as a crack intersects a stress free surface. As a result, the stress and displacement equations are given as eigenvalue series expansions, with the lowest order eigenvalue dominating the series. The thickness averaged stress and surface displacement singularity exponents were determined for a commercially available polyurethane. Multiple specimen geometries were used to “benchmark” the optical methods. Tests have been run to determine the surface effect on a straight front crack. Results of these tests were compared with analytical results and related to LEFM concepts. / Master of Science

Este trabalho visa modelar e estabelecer procedimentos experimentais para permitir a construção de mapas de conformabilidade plástica dos metais fundamentados na mecânica da fratura não-linear elasto-plástica. Um critério de conformabilidade plástica foi desenvolvido pela utilização de uma integral invariante generalizada baseada no teorema de Noether das integrais invariantes. Discute-se também as limitações da teoria da plasticidade que impossibilitam a obtenção de critérios de conformabilidade por seu intermédio. É um importante objetivo proporcionar o surgimento de uma metodologia de ensaio contendo alto rigor técnico mas sendo de baixo custo e de fácil implementação em simples instalações industriais. O procedimento foi aplicado no estudo do caso do forjamento a frio em matriz aberta, simulado por ensaio de compressão em prensa hidráulica. / The present study is aimed to the development of a low cost, to be implemented with ease, and technicality satisfactory industrial type testing for metal forming workability analysis. It is concerned with the development of an experimental procedures to permit the building up the metal forming workability maps, based on the nonlinear elastic-plastic fracture mechanics. A generalized nonlinear fracture mechanics invariant integral was applied to the case problem of the cold forging in flat open die of a ductile metallic material. At end a fracture criterion was developed in order to be possible the construction of the fracture deformation maps of the case study.

This work describes the implementation of the eXtended Finite Element Method (XFEM) in the Abaqus software package. A user-defined element was developed containing the analytical functions relating to homogeneous and interface fracture mechanics. The long-term goal of such work is to increase the ability to analyze fractures and other imperfections in multimaterial systems containing large elastic mismatches, such as flexible electronics. A review of XFEM-related literature is presented, as well as an overview of fracture mechanics for both homogeneous and interface systems. The theoretical basis of the XFEM is then covered, including the concepts of Partition of Unity and stress intensity factor evaluation. Finally, numerical results of the implementation are compared to several benchmark cases, along with conclusions and suggestions for future work.

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This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. / Thesis: Ph. D., Massachusetts Institute of Technology, Department of Earth and Planetary Science, 1977 / Vita. / Bibliography : leaves 135-137. / By Robert Wayne Siegfried, II. / Ph. D. / Ph. D. Massachusetts Institute of Technology, Department of Earth and Planetary Science