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Internal Variables in Thermoelasticity (Solid Mechanics and Its Applications) Arkadi Berezovski
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10.Kienzler R, Herrmann G (2000) Mechanics in material space: with applications to defect and fracture mechanicsViscoelastically These are materials that behave elastically, but also have damping: when the stress is applied and removed, work has to be done against the damping effects and is converted in heat within the material resulting in a hysteresis loop in the stressstrain curveThis implies that the material response has time-dependenceL.D4.Eringen AC, Suhubi ES (1964) Nonlinear theory of simple micro-elastic solidsICRC Press, Boca RatonCrossRefMATHGoogle ScholarPhys D Nonlinear Phenom 92(3):178192MathSciNetCrossRefMATHGoogle ScholarThis theorem includes the method of least work as a special case 1874: Otto Mohr formalized the idea of a statically indeterminate structureChou, N22.Vn P, Berezovski A, Engelbrecht J (2008) Internal variables and dynamic degrees of freedomLearn more about Amazon PrimeIt is most common for analysts in solid mechanics to use linear material models, due to ease of computationSpringer, Berlin, pp 283304Google ScholarApplied mechanics of solidsMarsden, T.JAs shown in the following table, solid mechanics inhabits a central place within continuum mechanics7.Gurtin ME (1996) Generalized GinzburgLandau and CahnHilliard equations based on a microforce balance
Continuum mechanics Laws Conservations Energy Mass Momentum Inequalities ClausiusDuhem (entropy) Solid mechanics Stress Deformation Compatibility Finite strain Infinitesimal strain Elasticity(linear) Plasticity Bending Hooke's law Material failure theory Fracture mechanics Contact mechanics(frictional) Fluid mechanics Fluids Statics Dynamics Archimedes' principle Bernoulli's principle NavierStokes equations Poiseuille equation Pascal's law Viscosity(Newtonian non-Newtonian) Buoyancy Mixing Pressure Liquids Surface tension Capillary action Gases Atmosphere Boyle's law Charles's law Gay-Lussac's law Combined gas law Plasma Rheology Viscoelasticity Rheometry Rheometer Smart fluids Magnetorheological Electrorheological Ferrofluids Scientists Bernoulli Boyle Cauchy Charles Euler Gay-Lussac Hooke Pascal Newton Navier Stokes v t e See search results for this author Are you an author? Learn about Author Central JInt J Eng Sci 21(7):705724MathSciNetCrossRefMATHGoogle ScholarBigoni, "Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability," Cambridge University Press, 2012Other detailed changes have been made throughout the work, many suggested by users of earlier editionsRead more Read less Add to Cart Elasticity (Solid Mechanics and Its Applications) $103.05 & FREE Shipping Only 3 left in stock - order soonThis third edition includes new chapters on complex variable methods, variational methods and three-dimensional solutions for the prismatic barLubliner, "Plasticity Theory", Macmillan Publishing Company, 1990 07f867cfac