Mathematical Theory of Dislocations and Fracture
University of Toronto Press, 1974 - 363 páginas
Concise, logical, and mathematically rigorous, this introduction to the theory of dislocations is addressed primarily to students and researchers in the general areas of mechanics and applied mathematics. Its scope encompasses those aspects of dislocation theory which are closely related to the theories of elasticity and macroscopic plasticity, to modern continuum mechanics, and to the theory of cracks and fracture. The volume incorporates several new and original pieces of work, including a development of the theory of dislocation motion and plastic strain for non-linear materials, a new discussion of the line tension model, revised calculations of the Peierls resistance, and a new development of the van der Merwe theory of crystal interfaces.
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applied approximation assume atoms becomes body boundary Burgers vector calculate called components configuration consider constant continuous core corresponding crack crystal cylinder defined deformation denote dependence derive direction discussion dislocation density dislocation line displacement edge dislocation effect elastic element energy equal equation equilibrium example exist expression external faces fact factor field Figure follows force fracture function given gives grain boundaries growth hence increases integral interaction lattice leads length loop material mechanism medium microcracks motion moving obtain occurs original parallel particular plane plastic position possible present problem produced reference region relation relative respect result rotation satisfy screw dislocation segment shear stress side similar simple single slip slip-plane solution spacing strain stress-field suppose surface tensor theory tractions unit usually zero
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Unified Theory of the Mechanical Behavior of Matter
M. J. Marcinkowski
Vista de fragmentos - 1979