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Mechanics of Solids and Materials Robert J. Asaro, Vlado A. Lubarda University of California, San Diego Cambridge University Press Cambridge New York Melbourne Madrid Cape Town Singapore São Paulo Published in the United States of America by Cambridge University Press, New York www.cambridge.org ISBN-13 978-0-521-85979-0 © Robert Asaro and Vlado Lubarda 2006 Preface PART 1: MATHEMATICAL PRELIMINARIES 1 Vectors and Tensors 2 Basic Integral Theorems 3 Fourier Series and Fourier Integrals PART 2: CONTINUUM MECHANICS 4 Kinematics of Continuum 5 Kinetics of Continuum 6 Thermodynamics of Continuum 7 Nonlinear Elasticity PART 3: LINEAR ELASTICITY 8 Governing Equations of Linear Elasticity Ключевые слова: ji, solution, ia, arbitrary, ei, k xc, dv, df, shear stress, integral, i ei, v t, traction, equal, equation, dx, sinh, jk, du, tn ds, n ds, parameter, relation, point, function, ep, general, iaa, xi xi, ti u, jkl, ft, stress, gradient, n d, a b, perfect cementite, ni, tr uv, ei e, chapter, uv, plane, dy, bi ck, pr, form, ui, growth, constant, coordinate, de?ned, fc, energy, sr t, london, york, dt li, single, potential, jkdxj dyk, s t, cp dt, er, rate, jk jk, lead, academic press, qi, xi, crack, case, cv dt, loading, adv, tt, displacement, boundary condition, material, elastic, theorem, ai, x d, xp, np ds, x dx, qt, set, elasticity, reference, kronecker delta, free, direction, appl, model, simple, symmetric, slip, lt, roy, eq, st, inclusion, pqs sqr, strain, normal, deformation, dislocation, dv dt, volume, condition, problem, strain energy, dx dy, dt bi, gq hr, interface, ?rr, fits, solids, pi, vector, plastic, modulus, cosh, array, ln, constitutive, total, monatomic gas, ?eld, asaro, yield, xj, ar br, bi, perfect iron, equilibrium, hardening, crystal, write, np, continuum, boundary, ai ei, e sp, n n, s v, pr pr, ha, s p, flu gge, force, integration, mechanics, shear, result, body, t ei, dislocations, soc, thermodynamics, ds, component, si, da dt, br er, wa, dt, nk, term, isotropic, change, plasticity, symmetry, dt ai, medium, qj rk, problems, expression, temperature, ?rst, rt, grain, r xj, ni i, current, r s, mass, t s, continua ginn, det, note, ? xi, phys, linear, sin, ni ni, theory, mech, unit, analysis, surface, dr, tensor