Introduction to linear elasticity

Introduction to Linear Elasticity

Volumn , Issue , 2013, Pages 1-346

  Gould, Phillip L ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOMEDICAL ENGINEERING; CONTINUUM MECHANICS; EDUCATION; ELASTICITY; STRESS ANALYSIS;

FINITE METHODS; GRADUATE STUDENTS; LINEAR ELASTICITY; PLATE AND SHELL; SOLID MECHANICS; THEORY OF ELASTICITY;

STUDENTS;

EID: 84955140622     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/9781461448334     Document Type: Book

References (105)

1. Westergaard HM (1964) Theory of elasticity and plasticity. Dover Publications, Inc., New York.
2. Tauchert TR (1974) Energy principles in structural mechanics. McGraw-Hill Book Company Inc., New York.
3. Ma Y, Desai CS (1990) Alternative definition of finite strains. J Eng Mech, ASCE 116(4):901-919.
4. Tauchert TR (1974) Energy principles in structural mechanics. McGraw-Hill Book Company Inc., New York.
5. Pearson CE (1959) Theoretical elasticity. Harvard monographs in applied science, vol 6. Harvard University Press, Cambridge, MA.
6. Westergaard HM (1964) Theory of elasticity and plasticity. Dover Publications Inc., New York.
7. Davis HF (1961) Introduction to vector analysis. Allyn and Bacon Inc., Boston.
8. Herrmann LR, Hamidi R, Shafigh-Nobari F, Lim CK (1988) Nonlinear behavior of elastomeric bearings. 1: theory. J Eng Mech ASCE 114(11):1811-1830.
9. Ugural AC, Fenster SK (1987) Advanced strength and applied elasticity, 2nd edn. Elsevier, New York.
10. Chou PC, Pagano NJ (1992) ELASTICITY Tensor, dyadic and engineering approaches. Dover Publications, Inc., New York, NY.
11. Timoshenko S, Goodier JN (1951) Theory of elasticity. McGraw-Hill Book Co., New York.
12. Zubelwicz A, Bazant ZP (1987) Constitutive model with rotating active plane and true stress. J Eng Mech ASCE 113(3):398-416.
13. Tauchert TR (1974) Energy principles in structural mechanics. McGraw-Hill Book Company Inc., New York.
14. Westergaard HM (1964) Theory of elasticity and plasticity. Dover Publications, Inc., New York.
15. Filonenko-Borodich M (1965) Theory of elasticity, translated from Russian by M. Konayeon. Dover Publications Inc., New York.
16. Ma Y, Desai CS (1990) Alternative definition of finite strains. J Eng Mech, ASCE 116 (4):901-919.
17. Pearson CE (1959) Theoretical elasticity. Harvard Univ. Press, Cambridge, MA.
18. Ugural AC, Fenster SK (1975) Advanced strength and applied elasticity. Elsevier-North Holland, New York.
19. Malvern LE (1969) Introduction to the mechanics of a continuous medium. Prentice-Hall, Englewood Cliffs, NJ.
20. Matos CG, Dodds RH (2000) Modelling the effects of residual stresses on defects in welds of steel frame connections. Eng Struct 22(9):1103-1120.
21. Novozhilov VV (1953) Foundations of the nonlinear theory of elasticity. Graylock Press, Rochester, NY (Dover Publications, Inc., New York, 1999).
22. Bazant ZP, Cedolin L (1999) Stability of structures. Oxford University Press, New York.
23. Feng Y et al (2010) Relative brain displacement and deformation during constrained mild frontal head impact. J R Soc Interface 7:1677-1688.
24. Timoshenko SP, Goodier JN (1951) Theory of elasticity. McGraw-Hill Book Company Inc, New York.
25. Westergaard HM (1964) Theory of elasticity and plasticity. Dover Publications, Inc., New York.
26. Love AEH (1944) The mathematical theory of elasticity. Dover Publications, Inc., New York.
27. Tauchert TR (1974) Energy principles in structural mechanics. McGraw-Hill Book Company, Inc, New York.
28. Little RW(1973) Elasticity. Prentice-Hall, Inc, Englewood Cliffs, NJ.
29. Sinkus R et al. (2005) Imaging anisotropic and viscous properties of breast tissue by magnetic resonance-elastography. Magn Reson Med, Wiley Interscience. 53:372-387.
30. Namani R et al. (2012) Elastic Characterization of transversely isotropic soft materials by dynamic shear and asymmetric indentation. J Biomech Eng 136(6):061004.
31. Cooley WG (2005) Application of functionally graded materials in aircraft structures. Masters thesis, AFIT/GAE/ENY/05-M04 Wright-Patterson AFB, OH.
32. Sankar BV (2001) An elasticity solution for functionally graded beams. Comp Sci Technol 61:689-696.
33. Roylance D (1999) Engineering viscoelasticity, Module for Engineering/3-11, (Massachusetts Institute of Technology, Cambridge, MA, 24 Oct 2001, 2 Dec 2009).
34. Vinson JR, Sierakowski RL (1986) The behavior of structures composed of composite materials. Martinus Nijhoff, Dordrecht.
35. Chen WF, Saleeb AF (1982) Constitutive equations for engineering materials, vol 1. John Wiley-Interscience, New York.
36. Ohtani YC, Chen WF (1987) Hypoelasticity-perfectly plastic model for concrete materials. J Eng Mech, ASCE 113(12):1840-1860.
37. Meek JL, Lin WJ (1990) Geometric and material nonlinear analysis of thin-walled beam columns. J Struct Eng 116(6):1473-1490.
38. Boresi AP, Chong KP (1987) Elasticity in engineering mechanics. Elsevier, New York.
39. Filonenko-Borodich M (1965) Theory of elasticity, trans. from Russian by M. Konayeon. Dover Publications, Inc., New York.
40. Chou PC, Pagano NJ (1992) ELASTICITY Tensor, dyadic and engineering approaches. Dover Publications, Inc., New York, NY.
41. Timoshenko S, Goodier JN (1951) Theory of Elasticity. McGraw-Hill Book Company, Inc., New York.
42. Westergaard HM (1964) Theory of elasticity and plasticity. Dover Publications, Inc., New York.
43. Volterra E, Gaines JH (1971) Advanced strength of materials. Prentice-Hall, Inc, Englewood Cliffs, NJ.
44. Little RW (1973) Elasticity. Prentice-Hall, Inc., Englewood Cliffs, NJ.
45. Timoshenko S, Goodier JN (1951) Theory of elasticity, 2nd edn. McGraw-Hill Book Company Inc., New York.
46. Westergaard HM (1964) Theory of elasticity and plasticity. Dover Publications, Inc., New York.
47. Filonenko-Borodich M (1965) Theory of elasticity. Dover Publications Inc., New York.
48. Timoshenko S, Gere JM (1951) Theory of elastic stability. McGraw-Hill Book Company Inc., New York.
49. Volterra E, Gaines JH (1971) Advanced strength of materials. Prentice-Hall Inc., Englewood Cliffs, NJ.
50. Ugural AC, Fenster SK (1975) Advanced strength and applied elasticity. Elsevier-North Holland, New York.
51. Love AEH (1944) A treatise on the mathematical theory of elasticity, 4th edn. Dover Publications, Inc., New York.
52. Timoshenko S, Goodier JN (1951) Theory of elasticity, 2nd edn. McGraw-Hill Book Company, Inc., New York.
53. Popov EP (1978) Mechanics of materials, 2nd edn. Prentice-Hall, Inc., Englewood Cliffs, NJ.
54. Little RW (1973) Elasticity. Prentice-Hall, Inc., Englewood Cliffs, NJ.
55. Filonenko-Borodich M (1965) Theory of elasticity. Dover Publications, Inc., New York.
56. Boresi AB, Sidebottom OM, Seeley FB, Smith J (1978) Advanced mechanics of materials, 3rd edn. John Wiley & Sons, Inc., New York.
57. Ugural AC, Fenster SK (1975) Advanced strength and applied elasticity. Elsevier-North Holland, New York.
58. Barry JE, Ainso H (1983) Single-span deep beams. J Struct Eng ASCE 109((ST3)):646-663.
59. Boresi AP, Chong KP (1987) Elasticity in engineering mechanics. Elsevier, New York.
60. Little GH (1989) Large deflections of orthotropic plates under pressure. J Eng Mech ASCE 115(12):2601-2620.
61. Sankar BV (2001) An elasticity solution for functionally graded beams. Comp Sci Technol 61:689-696.
62. Filonenko-Borodich M(1965) Theory of elasticity. Dover Publications, Inc., New York.
63. Green AE and Zerna W (1968) Theoretical Elasticity, Oxford University Press, Oxford.
64. Gould PL (1988) Analysis of shells and plates. Springer, New York.
65. Timoshenko S, Woinowski-Kreiger S (1959) Theory of plates and shells, 2nd edn. McGrawHill, New York.
66. Billington DD (1982) Thin shell concrete structures, 2nd edn. Mc Graw-Hill, New York.
67. Novozhilov VV (1964) Thin Shell Theory [Translated from 2nd Russian ed. by P.G. Lowe] Noordhoff, Gronigen The Netherlands.
68. Filonenko-Borodich M (1965) Theory of elasticity. Dover Publications, Inc., New York.
69. Royer D, Dieulesaint E (1996) Elastic waves in solids, vol 1. Springer, New York.
70. Sinkus, R, et.al, –Imaging Anisotropic and Viscous Properties of Breast Tissue by Magnetic Resonance-Elastography”, Magnetic Resonance in Medicine, Wiley Interscience, Vol.53, 2005, pp.372-387.
71. Chou PC, Pagano NJ (1992) ELASTICITY, Tensor, Dyadic and Engineering Approaches, Dover Publications, Inc, New York.
72. Bolt BA (1970) In: Weigel RL (ed) Earthquake engineering. Prentice-Hall, Englewood Cliffs, NJ.
73. Pearson CE (1959) Theoretical elasticity. Harvard University Press, Cambridge, MA.
74. Jacobsen LS, Ayre RS (1958) Engineering vibrations. McGraw-Hill Book Co, New York.
75. Stephen NG, Wang PJ (1986) Stretching and bending of rotating beam. J Appl Mech ASME 53:869-872.
76. Roylance D (1999) Engineering viscoelasticity. Module for Engineering/3-11 Massachusetts Institute of Technology, Cambridge, MA.
77. Torvik PJ, Bagley R (1984) On the appearance of the fractional derivative in the behavior of real materials. ASME J Appl Mech 51:741-748.
78. Singh MP, Chang T-S, Nandan H (2011) Algorithms for seismic analysis of MDOF systems with fractional derivatives. Eng Struct 33(8):2371-2381.
79. Fliigge W (1967) Viscoselasticity. Blaisdell Publishing Co, Waltham, MA.
80. Fung YC (1997) Selected works on biomechanics and aeroelasticity. Part A. World Scientific Publishing Co., Singapore.
81. Sinkus R et al. (2005) Imaging anisotropic and viscous properties of breast tissue by magnetic resonance-elastography. Magn Reson Med. Wiley Interscience. 53:372-387.
82. Clayton EH, Garbow JR, Bayly PV (2011) Frequency dependent viscoelastic parameters of mouse brain tissue estimated by MR elastography. Phys Med Biol 56:2391-2406.
83. Okamoto RJ, Clayton EH, Bayly PV (2011) Viscoelastic properties of soft gells: comparison of magnetic resonance elastography and dynamic shear testing in the shear wave regime. Phys Med Biol 56:6379-6400.
84. Timoshenko S (1953) History of strength of materials. McGraw-Hill Book Company Inc., New York.
85. Boresi AP et al (1978) Advanced methanics of materials, 3rd edn. Wiley, New York.
86. Forray MJ (1968) Variational calculus in science and engineering. McGraw-Hill Book Company Inc., New York.
87. Pierce BO, Foster RM (1950) A short table of integrals, 4th edn. Ginn and Company, Boston, Formula 969.
88. Gladilin E, Zachow S, Deuflhard P, Hege H-C (2001) Validation of a linear elastic model for soft tissue simulation in craniofacial surgery, proceedings of SPIE, vol 4319, http://spiedl.org Berlin, Germany.
89. Tauchert TR (1974) Energy principles in structural mechanics. McGraw-Hill Book Company Inc., New York.
90. Lord Rayleigh (1945) The theory of sound. Dover Publications Inc., New York.
91. Timoshenko S, Goodier JW (1951) Theory of elasticity, 2nd edn. McGraw-Hill Book Company Inc., New York.
92. Courant R, Hilbert D (1966) Methods of mathematical physics, vol 1. Wiley-Interscience Publications, New York.
93. Gopu VKA (1987) Validity of distortion-energy-based strength criterion for timber members. J Struct Eng, ASCE 113(12):2475-2487.
94. Boresi AP, Chong FP (1987) Elasticity in engineering mechanics. Elsevier, New York.
95. Boresi AP et al (1978) Advanced mechanics of materials, 3rd edn. Wiley, New York.
96. MeekJL, Lin WJ (1990) Geometric and material nonlinear analysis of thin-walled beam-columns. J Struct Eng, ASCE 116(6):1473-1489.
97. Prager W, Hodge PG (1951) Theory of perfectly plastic solids. Wiley, New York.
98. Calladine CR (1985) Plasticity for engineers. Ellis Howard, Ltd., Chichester.
99. Podgosrski J (1985) General failure criterion for isotropic media. J Eng Mech, ASCE 111(2):188-201.
100. Tsai SW, Wu EM (1971) A general theory of strength for anisotropic materials. J Compos Mater 5:58-80.
101. Bazant ZP, Mazars J (1990) France&—US Workshop on strain localization and size effect due to cracking and damage. J Eng Mech, ASCE 116(6):1412-1424.
102. Chicago Sunday Tribune (1989), Chicago, IL.
103. Spaepen F, Turnbull D (1984) Metallic glasses. Ann Rev Phys Chem 35:241-63.
104. Liquidmetal alloys unique material properties: high yield strength and superior elastic limit. Liquidmetal Product Design and Development. Liquidmetal Technologies. Web. 16 Feb 2012. http://www.liquidmetal.com/technology/properties-comparison/.
105. New York Times, 5 June 2011 New York, NY and http://media.caltech.edu/press_releases/13110.