Stress-dependent finite growth in soft elastic tissues

Journal of Biomechanics - Tập 27 - Trang 455-467 - 1994
Edward K. Rodriguez1, Anne Hoger1, Andrew D. McCulloch1
1Institute for Biomedical Engineering, University of California, San Diego, La Jolla, CA 92093-0412, U.S.A.

Tài liệu tham khảo

Carter, 1977, The compressive behavior of bone as a two-phase porous material, J. Bone Jt Surg., 49, 954, 10.2106/00004623-197759070-00021 Choung, 1986, Residual stress in arteries, 117 Costa, 1993, Three-dimensional residual strain in canine left ventricle, FASEB J., 7, A562 Cowin, 1983, The mechanical and stress adaptive properties of bone, Ann. biomed. Engng, 11, 263, 10.1007/BF02363288 Cowin, 1985, The relationship between the elasticity tensor and the fabric tensor, Mech. Mat., 4, 137, 10.1016/0167-6636(85)90012-2 Cowin, 1986, Wolff's law of trabecular architecture at remodeling equilibrium, ASME J. biomech. Engng, 108, 83, 10.1115/1.3138584 Cowin, 1981, Bone remodeling of diaphyseal surfaces under constant load: theoretical predictions, J. Biomechanics, 7, 471, 10.1016/0021-9290(81)90097-X Firoozbakhsh, 1989, The effect of stress concentration on bone remodeling: theoretical predictions, ASME J. biomech. Engng, 111, 355, 10.1115/1.3168391 Fung, 1990 Gairola, 1979, Nonlinear elastic problems, 223 Grossman, 1980, Cardiac hypertrophy: useful adaptation or pathologic process?, Am. J. Med., 69, 576, 10.1016/0002-9343(80)90471-4 Guccione, 1991, Passive material properties of intact ventricular myocardium determined from a cylindrical model, ASME J. biomech. Engng, 113, 42, 10.1115/1.2894084 Guo, 1992, Periosteal and endosteal control of bone remodeling under torsional loading, J. Biomechanics, 25, 645, 10.1016/0021-9290(92)90106-B Gurtin, 1981 Han, 1991, Residual strains in porcine and canine tracheas, J. Biomechanics, 24, 307, 10.1016/0021-9290(91)90349-R Harrigan, 1992, An analytical and numerical study of the stability of bone remodeling theories: dependence on microstructural stimulus, J. Biomechanics, 25, 477, 10.1016/0021-9290(92)90088-I Hart, 1990, A theoretical study of the influence of bone maturation rate on surface remodeling predictions: idealized models, J. Biomechanics, 23, 241, 10.1016/0021-9290(90)90015-U Hoger, 1986, On the determination of residual stress in an elastic body, J. Elasticity, 16, 303, 10.1007/BF00040818 Hoger, 1993, Residual stress in an elastic body: a theory for small strains and arbitrary rotations, J. Elasticity, 31, 1, 10.1007/BF00041621 Hoger, 1984, On the derivative of the square root of a tensor and Guo's rate theorems, J. Elasticity, 14, 329, 10.1007/BF00041141 Hsu, 1968, The influences of mechanical loads on the form of a growing elastic body, J. Biomechanics, 1, 303, 10.1016/0021-9290(68)90024-9 Kroner, 1958 Liu, 1988, Zero-stress states of arteries, J. biomech. Engng, 110, 82, 10.1115/1.3108410 Luo, 1991, A boundary element method investigation of different frictional boundary conditions on bone in growth, 219 Manasek, 1983, Control of early embryonic heart morphogenesis: a hypothesis, 4 Mattheck, 1991, CAO: computer simulation of adaptive growth in bones and trees, 243 Nabarro, 1987 Omens, 1991, Transmural distribution of myocardial growth induced by volume overload hypertrophy in the dog, Circulation, 84, 1235, 10.1161/01.CIR.84.3.1235 Omens, 1990, Residual strain in rat left ventricle, Circ. Res., 66, 37, 10.1161/01.RES.66.1.37 Pauwels, 1980 Rodriguez, 1993, Myocyte growth in the zerostress state due to pressure overload hypertrophy, FASEB J., 7, A768 Sadoshima, 1992, Molecular characterization of the stretch-induced adaptation of cultured cardiac cells, J. biol. Chem., 267, 10551, 10.1016/S0021-9258(19)50052-7 Skalak, 1981, Growth as a finite displacement field, 348 Skalak, 1982, Analytical description of growth, J. theor. Biol., 94, 555, 10.1016/0022-5193(82)90301-0 Spencer, 1980 Stalsberg, 1970, Mechanism of dextral looping of the embryonic heart, Am. J. Cardiol., 25, 265, 10.1016/S0002-9149(70)80002-9 Taber, 1993, Residual strain in the ventricle of the stage 16–24 chick embryo, Circ. Res., 72, 455, 10.1161/01.RES.72.2.455 Takamizawa, 1987, Strain energy density function and uniform strain hypothesis for arterial mechanics, J. Biomechanics, 20, 7, 10.1016/0021-9290(87)90262-4 Terracio, 1990, A potential role for mechanical stimulation in cardiac development, Ann. N.Y. Acad. Sci., 588, 48, 10.1111/j.1749-6632.1990.tb13196.x Xie, 1991, The zero-stress state of rat veins and vena cava, ASME J. biomech. Engng, 113, 36, 10.1115/1.2894083 Xie, 1991, The zero-stress state of rat veins and vena cava, ASME J. biomech. Engng, 113, 41, 10.1115/1.2894083