Abstract
There are some very broad distinctions that can usefully be made in classifying types of mechanical behavior and the approaches to their study. The first of these distinctions is between brittle and ductile behavior. We can define brittleness as the liability to gross fracturing without substantial permanent change of shape in response to loading beyond the elastic range. Conversely, ductility is the capacity for substantial permanent change of shape without gross fracturing. In this context, “gross” means on the scale of the whole body or region under consideration and the use of the terms brittle and ductile is only meaningful with proper reference to scale. For the study of brittle behavior, see Jaeger (1969), Paterson and Wong (2005), and Jaeger et al. (2007). In this chapter, we are mainly concerned with ductile behavior or plastic deformation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amin KE, Mukherjee AK, Dorn JE (1970) A universal law for high-temperature diffusion controlled transient creep. J Mech Phys Solids 18:413–426
Andrade ENdaC (1910) On the viscous flow of metals and allied phenomena. Proc Roy Soc (London) A84:1–12
Argon AS (1973) Stability of plastic deformation. In: The Inhomogeneity of Plastic Deformation. American Society for Metals, Metals Park, Ohio, 161–189
Backhofen WA (1972) Deformation processing. Addison Wesley, London 326 pp
Benioff H (1951) Earthquakes and rock creep, part 1. Bull Seismol Soc Amer 41:31–62
Biot MA (1965) Mechanics of incremental deformations. Wiley, New York, 504 pp
Bird JE, Mukherjee AK, Dorn JE (1969) Correlations between high-temperature creep behaviour and structure, In: Quantitative relation between properties and microstructure; international conference, July 27–Aug 4, Haifa. Israel Univ Press, Haifa, 255–342
Considère A (1885) L’emploi du fer et de l’acier dans les constructions. Ann des Ponts et Chaussées 9:574–775
Di Persio J, Escaig B (1984) Dislocation cores in molecular crystals. Dislocations, Paris, Editions du CNRS, 267–282
Drucker DC (1960) Plasticity. In: Proceedings 1st symposium on naval structural mechanics, Pergamon, 407–448
Dyson BF, Verma AK, Szkopiak ZC (1981) The influence of stress state on creep resistance: experiments and modelling. Acta Metall 29:1573–1580
Evans B, Wong T-F (1985) Shear localization in rocks induced by tectonic deformation. In: Bazant Z (ed) Mechanics of geomaterials. rocks, concretes, soils, John Wiley, 189–210
Finnie I, Abo El Ata MM (1971) Creep and creep rupture of copper tubes under multiaxial stress. In: Smith AI, Nicolsoned AM (eds) Advances in creep design. Applied Science Publishers, Ltd, London, 329–352
Fressengeas C, Molinari A (1987) Instability and localization of plastic flow in shear at high strain rates. J Mech Phys Solids 35:185–211
Garofalo F (1965) Fundamentals of creep and creep-rupture in metals. Macmillan, New York, 258 pp
Griggs DT (1939) Creep of rocks. J Geol 47:225–251
Hart BS, Flemings PB, Deshpanda A (1995) Porosity and pressure: role of compaction disequilibrium in the development of gas pressures in a Gulf Coast Pleistocene basin. Geology 23:45–48
Hill R (1950) The mathematical theory of plasticity. Clarendon Press, Oxford, 355 pp
Hoff NJ (1958) A survey of the theories of creep buckling. In: Proceedings of the 3rd US national congress of applied mechanics, held at Providence RI, June 11–14, New York, ASME, 29–49
Hoffman O, Sachs G (1953) Introduction to the theory of plasticity for engineers. McGraw-Hill Book Co, New York, 276 pp
Jaeger JC (1962) Elasticity, fracture and flow, 2nd edn. Methuen, London, 208 pp
Jaeger JC (1969) Elasticity, fracture and flow (3rd ed), Methuen, London, 268 pp
Jaeger JC, Cook NGW (1976) Fundamentals of rock mechanics (2nd ed), Chapman and Hall, London, 585 pp
Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics, 4th edn. Blackwell Publishing, Oxford 475
Jeffreys H (1958) A modification of Lomnitz’s law of creep in rocks. Geophys J R Astr Soc 1:92–95
Johnson AE, Henderson J, Khan B (1962) Complex-stress creep, relaxation and fracture of metallic alloys. HMSO, Edinburgh, 76 pp
Jonas JJ, Holt RA, Coleman CE (1976) Plastic stability in tension and compression. Acta Metall 24:911–918
Jonas JJ, Luton MJ (1978) Flow softening at elevated temperature. In: Advances in deformation processing. Proceedings of 21st sagamore army materials research conference Aug 1974, Plenum Press, New York, pp 215–243
Kestin J, Bataille J (1980) Materials with memory. An essay in thermodynamics. J Non-Equilib Thermodynamics 5:19–33
Kocks UF (1975) Constitutive relations for slip. In: Argon AS (ed) Constitutive equations in plasticity. MIT Press, Cambridge, Mass, pp 81–115
Lomnitz C (1956) Creep measurements in igneous rocks. J Geol 64:473–479
Lonsdale D, Flewitt PEJ (1977) Effect of hydrostatic-pressure on microstructural changes which occur during creep in alpha-iron. Scripta Met 11:1119–1125
Malvern LE (1969) Introduction to the mechanics of a continuous medium. Englewood Cliffs, Prentice-Hall, New Jersy, 713 pp
Means WD (1976) Stress and strain. Basic concepts of continuum mechanics for geologists. Springer, New York, 339 pp
Michelson AS (1917) The laws of elastic-viscous flow, part 1. J Geol 25:405–410
Michelson AS (1920) The laws of elastic-viscous flow. part 2. J Geol 28:18–24
Misra AK, Murrell SAF (1965) An experimental study of the effect of temperature and stress on the creep of rocks. Geophys J R Astr Soc 9:509–535
Mukherjee AK (1975) High-temperature creep. In: Herman H (ed) Plastic deformation of materials. Treatise on materials science and technology, vol 6. Academic Press, New York, pp 163–224
Needham NG, Greenwood GW (1975) The creep of copper under superimposed hydrostatic pressure. Metal Sci 9:258–262
Nye JF (1953) The flow law of ice from measurements in glacier tunnels, laboratory experiments and the Jungfraufirn borehole experiment. Proc Roy Soc (London) A219:477–489
Nye JF (1957) Physical properties of crystals. Clarendon Press, Oxford, 322 pp
Odqvist FKG (1935) Creep stresses in a rotating disc. In: Proceedings of the 4th international congress applied mechanics, Cambridge University Press, Cambridge, 228–229
Paterson MS, Weiss LE (1968) Folding and boudinage of quartz-rich layers in experimentally deformed phyllite. Geol Soc Am Bull 79:795–812
Paterson MS (1979) The mechanical behaviour of rock under crustal and mantle conditions. In: McElhinny MN (ed) The Earth: its origin, structure and evolution. Academic Press, London, pp 469–489
Paterson MS, Olgaard DL (2000) Rock deformation tests to large shear strains in torsion. J Structural Geol 22:1341–1358
Paterson MS, Wong T-f (2005) Experimental rock deformation—the brittle field 2nd ed. Springer, Berlin, 347 pp
Paterson MS (2007) Localization in rate-dependent shearing deformation, with application to torsion testing. Tectonophysics 445:273–280
Phillips P (1905) The slow stretch in India rubber, glass, and metal wires when subjected to a constant pull. Phil Mag (6th ser), 9:513–531
Poirier J-P (1976) Plasticité à Haute Température des Solides Cristallins, Paris, Editions Eyrolles, 320 pp
Poirier JP (1980) Shear localization and shear instability in materials in the ductile field. J Structural Geol 2:135–142
Prager W, Hodge PG (1951) Theory of perfectly plastic solids. Wiley, New York
Prigogine I (1967) Introduction to thermodynamics of irreversible processes (3rd edn). Interscience Publishers, New York, 147 pp
Reid CN (1973) Deformation geometry for material scientists. Pergamon Press, Oxford, 211 pp
Rice JR (1970) On the structure of stress-strain relations for time-dependent plastic deformation of metals. J Appl Mech, Trans ASME 37:728–733
Rice JR (1975) Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms. In: Argon AS (ed) Constitutive equations in plasticity. The MIT Press, Cambridge Mass, 23–79
Robertson EC (1955) Experimental study of the strength of rocks. Geol Soc Am Bull 66:1275–1314
Shawki TG, Clifton RJ (1989) Shear band formation in thermal viscoplastic materials. Mech Mater 8:13–43
Smith AI, Nicolson AM (eds) (1971) Advances in creep design, Applied Science Publisher, London, 485 pp
Zener C (1948) Elasticity and anelasticity of metals. University of Chicago Press, Chicago, 170 pp
Ziegler H (1977) An introduction to thermomechanics. North-Holland Publishing Co, Amsterdam, 308 pp
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Paterson, M.S. (2013). Mechanical Fundamentals. In: Materials Science for Structural Geology. Springer Geochemistry/Mineralogy. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5545-1_4
Download citation
DOI: https://doi.org/10.1007/978-94-007-5545-1_4
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5544-4
Online ISBN: 978-94-007-5545-1
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)