Will Douglas has escaped and is on the run. A cunning half-breed slave hunter that he eluded once before is after him again. Things get worse as his childhood sweetheart is presented as a gift to a wealthy doctor. Forced to become his mistress, she soon becomes pregnant. Will is determined to help her get away. Abolitionists in the Underground Railroad seem to be the best hope¿but Will soon discovers slave hunters will go to any lengths to capture runaways. A harrowing series of events leads him to a small town in Iowa where a Sioux Indian girl finds Will funny and attractive. Is this a blessing or more trouble?For Will and his companions the hope for a better life has turned into a gamble ... and the stakes couldn't be higher.
Focusing on the innovative approach to continuum mechanics, this monograph explores both spatial and material perspectives within a dissipation-consistent framework. It emphasizes the role of configurational mechanics, particularly how configurational forces relate to changes in material positions, such as those occurring during crack propagation. The work presents configurational mechanics as a flexible and comprehensive tool for addressing complex issues in continuum defect mechanics, free from geometrical and constitutive limitations, while offering a robust computational strategy.
An Application to First- and Second-Order Elasticity and Elasto-Plasticity
517bladzijden
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This book explores the foundational aspects of geometrically nonlinear kinematics in generalized continuum mechanics through the lens of differential geometry. It begins with a motivation from geometrically linear first- and second-order crystal plasticity, followed by a review of essential differential geometry concepts, including connection, parallel transport, torsion, curvature, and metrics, applicable to both holonomic and anholonomic coordinate transformations. The kinematics of geometrically nonlinear continuum mechanics are examined, applying differential geometry principles to first- and second-order models. Key topics include compatibility, integrability conditions for distortions and double-distortions, and the introduction of dislocation, disclination, and point-defect density tensors. The text provides a thorough discussion of (multiplicative) first- and second-order elasto-plasticity, culminating in a detailed analysis of various dislocation and defect density tensors, which may aid in modeling geometrically necessary defects and hardening in crystalline materials. The final section summarizes integrability findings, differentiating between conditions for distortion and double-distortion integrability and the more complex requirements for strain and double-strain integrability. This work is aimed at readers interested in continuum modeling of solids, requiring a solid understanding of tensor calculus and continuu
Die kulturelle Bedeutung dieses Werkes wird von Wissenschaftlern anerkannt, da es einen wichtigen Teil des zivilisatorischen Wissens darstellt. Es wurde aus dem Originaldokument reproduziert und bleibt diesem so treu wie möglich. Im Buch finden sich originale Urheberrechtsvermerke, Bibliotheksstempel und andere Notizen, die darauf hinweisen, dass es in bedeutenden Bibliotheken weltweit aufbewahrt wurde.
