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A geometric approach to thermomechanics of dissipating continua par Rakotomanana, Lalao. Publication : [S.l.] Birkhuser, . 280 p. , This monograph focuses on the modeling of continua that exhibit the property of singularities in fields. A rational theory of continuum thermomechanics that takes into account the existence and distribution of scalar and vector discontinuities is presented. Guiding the work is the notion that discontinuities should be modeled by the torsion and curvature tensors (Cartan), thus forming an attractive alternative way of representing dissipating continua with singularities. Also emphasized in this study is the relationship between singularities and certain irreversible properties that occur in solid and fluid models. The required mathematical background is given in several appendices, although some basic understanding of differential geometry and tensor analysis would be helpful. The book is largely self-contained and should serve a readership of graduate students, researchers, and engineers in applied mathematics, mechanics, and physics. 23 cm. Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Continuum mechanics and thermodynamics from fundamental concepts to governing equations par Tadmor, Ellad B., Publication : Cambridge, UK | New York Cambridge University Press 2012 . xxii, 350 pages , "Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. This book presents a fresh perspective on these fundamental topics, connecting micro- and nanoscopic theories and emphasizing topics relevant to understanding solid-state thermo-mechanical behavior. Providing clear, in-depth coverage, the book gives a self-contained treatment of topics directly related to nonlinear materials modeling. It starts with vectors and tensors, finite deformation kinematics, the fundamental balance and conservation laws, and classical thermodynamics. It then discusses the principles of constitutive theory and examples of constitutive models, presents a foundational treatment of energy principles and stability theory, and concludes with example closed-form solutions and the essentials of finite elements. Together with its companion book, Modeling Materials, (Cambridge University Press, 2011), this work presents the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering"-- 26 cm. Date : 2012 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Continuum thermomechanics par Bermúdez de Castro, Alfredo. Publication : Basel | Boston Birkhäuser Verlag 2005 . xii, 209 pages 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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