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2013 | OriginalPaper | Buchkapitel

4. Mechanical Fundamentals

verfasst von : Mervyn S. Paterson

Erschienen in: Materials Science for Structural Geology

Verlag: Springer Netherlands

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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.

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Literatur
Zurück zum Zitat Amin KE, Mukherjee AK, Dorn JE (1970) A universal law for high-temperature diffusion controlled transient creep. J Mech Phys Solids 18:413–426CrossRef Amin KE, Mukherjee AK, Dorn JE (1970) A universal law for high-temperature diffusion controlled transient creep. J Mech Phys Solids 18:413–426CrossRef
Zurück zum Zitat Andrade ENdaC (1910) On the viscous flow of metals and allied phenomena. Proc Roy Soc (London) A84:1–12 Andrade ENdaC (1910) On the viscous flow of metals and allied phenomena. Proc Roy Soc (London) A84:1–12
Zurück zum Zitat Argon AS (1973) Stability of plastic deformation. In: The Inhomogeneity of Plastic Deformation. American Society for Metals, Metals Park, Ohio, 161–189 Argon AS (1973) Stability of plastic deformation. In: The Inhomogeneity of Plastic Deformation. American Society for Metals, Metals Park, Ohio, 161–189
Zurück zum Zitat Backhofen WA (1972) Deformation processing. Addison Wesley, London 326 pp Backhofen WA (1972) Deformation processing. Addison Wesley, London 326 pp
Zurück zum Zitat Benioff H (1951) Earthquakes and rock creep, part 1. Bull Seismol Soc Amer 41:31–62 Benioff H (1951) Earthquakes and rock creep, part 1. Bull Seismol Soc Amer 41:31–62
Zurück zum Zitat Biot MA (1965) Mechanics of incremental deformations. Wiley, New York, 504 pp Biot MA (1965) Mechanics of incremental deformations. Wiley, New York, 504 pp
Zurück zum Zitat 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 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
Zurück zum Zitat Considère A (1885) L’emploi du fer et de l’acier dans les constructions. Ann des Ponts et Chaussées 9:574–775 Considère A (1885) L’emploi du fer et de l’acier dans les constructions. Ann des Ponts et Chaussées 9:574–775
Zurück zum Zitat Di Persio J, Escaig B (1984) Dislocation cores in molecular crystals. Dislocations, Paris, Editions du CNRS, 267–282 Di Persio J, Escaig B (1984) Dislocation cores in molecular crystals. Dislocations, Paris, Editions du CNRS, 267–282
Zurück zum Zitat Drucker DC (1960) Plasticity. In: Proceedings 1st symposium on naval structural mechanics, Pergamon, 407–448 Drucker DC (1960) Plasticity. In: Proceedings 1st symposium on naval structural mechanics, Pergamon, 407–448
Zurück zum Zitat Dyson BF, Verma AK, Szkopiak ZC (1981) The influence of stress state on creep resistance: experiments and modelling. Acta Metall 29:1573–1580CrossRef Dyson BF, Verma AK, Szkopiak ZC (1981) The influence of stress state on creep resistance: experiments and modelling. Acta Metall 29:1573–1580CrossRef
Zurück zum Zitat 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 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
Zurück zum Zitat 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 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
Zurück zum Zitat Fressengeas C, Molinari A (1987) Instability and localization of plastic flow in shear at high strain rates. J Mech Phys Solids 35:185–211CrossRef Fressengeas C, Molinari A (1987) Instability and localization of plastic flow in shear at high strain rates. J Mech Phys Solids 35:185–211CrossRef
Zurück zum Zitat Garofalo F (1965) Fundamentals of creep and creep-rupture in metals. Macmillan, New York, 258 pp Garofalo F (1965) Fundamentals of creep and creep-rupture in metals. Macmillan, New York, 258 pp
Zurück zum Zitat 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 23:45–48CrossRef 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 23:45–48CrossRef
Zurück zum Zitat Hill R (1950) The mathematical theory of plasticity. Clarendon Press, Oxford, 355 pp Hill R (1950) The mathematical theory of plasticity. Clarendon Press, Oxford, 355 pp
Zurück zum Zitat 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 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
Zurück zum Zitat Hoffman O, Sachs G (1953) Introduction to the theory of plasticity for engineers. McGraw-Hill Book Co, New York, 276 pp Hoffman O, Sachs G (1953) Introduction to the theory of plasticity for engineers. McGraw-Hill Book Co, New York, 276 pp
Zurück zum Zitat Jaeger JC (1962) Elasticity, fracture and flow, 2nd edn. Methuen, London, 208 pp Jaeger JC (1962) Elasticity, fracture and flow, 2nd edn. Methuen, London, 208 pp
Zurück zum Zitat Jaeger JC (1969) Elasticity, fracture and flow (3rd ed), Methuen, London, 268 pp Jaeger JC (1969) Elasticity, fracture and flow (3rd ed), Methuen, London, 268 pp
Zurück zum Zitat Jaeger JC, Cook NGW (1976) Fundamentals of rock mechanics (2nd ed), Chapman and Hall, London, 585 pp Jaeger JC, Cook NGW (1976) Fundamentals of rock mechanics (2nd ed), Chapman and Hall, London, 585 pp
Zurück zum Zitat Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics, 4th edn. Blackwell Publishing, Oxford 475 Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics, 4th edn. Blackwell Publishing, Oxford 475
Zurück zum Zitat Jeffreys H (1958) A modification of Lomnitz’s law of creep in rocks. Geophys J R Astr Soc 1:92–95CrossRef Jeffreys H (1958) A modification of Lomnitz’s law of creep in rocks. Geophys J R Astr Soc 1:92–95CrossRef
Zurück zum Zitat Johnson AE, Henderson J, Khan B (1962) Complex-stress creep, relaxation and fracture of metallic alloys. HMSO, Edinburgh, 76 pp Johnson AE, Henderson J, Khan B (1962) Complex-stress creep, relaxation and fracture of metallic alloys. HMSO, Edinburgh, 76 pp
Zurück zum Zitat Jonas JJ, Holt RA, Coleman CE (1976) Plastic stability in tension and compression. Acta Metall 24:911–918CrossRef Jonas JJ, Holt RA, Coleman CE (1976) Plastic stability in tension and compression. Acta Metall 24:911–918CrossRef
Zurück zum Zitat 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 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
Zurück zum Zitat Kestin J, Bataille J (1980) Materials with memory. An essay in thermodynamics. J Non-Equilib Thermodynamics 5:19–33 Kestin J, Bataille J (1980) Materials with memory. An essay in thermodynamics. J Non-Equilib Thermodynamics 5:19–33
Zurück zum Zitat Kocks UF (1975) Constitutive relations for slip. In: Argon AS (ed) Constitutive equations in plasticity. MIT Press, Cambridge, Mass, pp 81–115 Kocks UF (1975) Constitutive relations for slip. In: Argon AS (ed) Constitutive equations in plasticity. MIT Press, Cambridge, Mass, pp 81–115
Zurück zum Zitat Lomnitz C (1956) Creep measurements in igneous rocks. J Geol 64:473–479CrossRef Lomnitz C (1956) Creep measurements in igneous rocks. J Geol 64:473–479CrossRef
Zurück zum Zitat Lonsdale D, Flewitt PEJ (1977) Effect of hydrostatic-pressure on microstructural changes which occur during creep in alpha-iron. Scripta Met 11:1119–1125CrossRef Lonsdale D, Flewitt PEJ (1977) Effect of hydrostatic-pressure on microstructural changes which occur during creep in alpha-iron. Scripta Met 11:1119–1125CrossRef
Zurück zum Zitat Malvern LE (1969) Introduction to the mechanics of a continuous medium. Englewood Cliffs, Prentice-Hall, New Jersy, 713 pp Malvern LE (1969) Introduction to the mechanics of a continuous medium. Englewood Cliffs, Prentice-Hall, New Jersy, 713 pp
Zurück zum Zitat Means WD (1976) Stress and strain. Basic concepts of continuum mechanics for geologists. Springer, New York, 339 pp Means WD (1976) Stress and strain. Basic concepts of continuum mechanics for geologists. Springer, New York, 339 pp
Zurück zum Zitat Michelson AS (1917) The laws of elastic-viscous flow, part 1. J Geol 25:405–410CrossRef Michelson AS (1917) The laws of elastic-viscous flow, part 1. J Geol 25:405–410CrossRef
Zurück zum Zitat Michelson AS (1920) The laws of elastic-viscous flow. part 2. J Geol 28:18–24CrossRef Michelson AS (1920) The laws of elastic-viscous flow. part 2. J Geol 28:18–24CrossRef
Zurück zum Zitat 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 9:509–535CrossRef 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 9:509–535CrossRef
Zurück zum Zitat 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 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
Zurück zum Zitat Needham NG, Greenwood GW (1975) The creep of copper under superimposed hydrostatic pressure. Metal Sci 9:258–262CrossRef Needham NG, Greenwood GW (1975) The creep of copper under superimposed hydrostatic pressure. Metal Sci 9:258–262CrossRef
Zurück zum Zitat 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 (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
Zurück zum Zitat Nye JF (1957) Physical properties of crystals. Clarendon Press, Oxford, 322 pp Nye JF (1957) Physical properties of crystals. Clarendon Press, Oxford, 322 pp
Zurück zum Zitat Odqvist FKG (1935) Creep stresses in a rotating disc. In: Proceedings of the 4th international congress applied mechanics, Cambridge University Press, Cambridge, 228–229 Odqvist FKG (1935) Creep stresses in a rotating disc. In: Proceedings of the 4th international congress applied mechanics, Cambridge University Press, Cambridge, 228–229
Zurück zum Zitat Paterson MS, Weiss LE (1968) Folding and boudinage of quartz-rich layers in experimentally deformed phyllite. Geol Soc Am Bull 79:795–812CrossRef Paterson MS, Weiss LE (1968) Folding and boudinage of quartz-rich layers in experimentally deformed phyllite. Geol Soc Am Bull 79:795–812CrossRef
Zurück zum Zitat 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 (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
Zurück zum Zitat Paterson MS, Olgaard DL (2000) Rock deformation tests to large shear strains in torsion. J Structural Geol 22:1341–1358CrossRef Paterson MS, Olgaard DL (2000) Rock deformation tests to large shear strains in torsion. J Structural Geol 22:1341–1358CrossRef
Zurück zum Zitat Paterson MS, Wong T-f (2005) Experimental rock deformation—the brittle field 2nd ed. Springer, Berlin, 347 pp Paterson MS, Wong T-f (2005) Experimental rock deformation—the brittle field 2nd ed. Springer, Berlin, 347 pp
Zurück zum Zitat Paterson MS (2007) Localization in rate-dependent shearing deformation, with application to torsion testing. Tectonophysics 445:273–280CrossRef Paterson MS (2007) Localization in rate-dependent shearing deformation, with application to torsion testing. Tectonophysics 445:273–280CrossRef
Zurück zum Zitat 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 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
Zurück zum Zitat Poirier J-P (1976) Plasticité à Haute Température des Solides Cristallins, Paris, Editions Eyrolles, 320 pp Poirier J-P (1976) Plasticité à Haute Température des Solides Cristallins, Paris, Editions Eyrolles, 320 pp
Zurück zum Zitat Poirier JP (1980) Shear localization and shear instability in materials in the ductile field. J Structural Geol 2:135–142CrossRef Poirier JP (1980) Shear localization and shear instability in materials in the ductile field. J Structural Geol 2:135–142CrossRef
Zurück zum Zitat Prager W, Hodge PG (1951) Theory of perfectly plastic solids. Wiley, New York Prager W, Hodge PG (1951) Theory of perfectly plastic solids. Wiley, New York
Zurück zum Zitat Prigogine I (1967) Introduction to thermodynamics of irreversible processes (3rd edn). Interscience Publishers, New York, 147 pp Prigogine I (1967) Introduction to thermodynamics of irreversible processes (3rd edn). Interscience Publishers, New York, 147 pp
Zurück zum Zitat Reid CN (1973) Deformation geometry for material scientists. Pergamon Press, Oxford, 211 pp Reid CN (1973) Deformation geometry for material scientists. Pergamon Press, Oxford, 211 pp
Zurück zum Zitat Rice JR (1970) On the structure of stress-strain relations for time-dependent plastic deformation of metals. J Appl Mech, Trans ASME 37:728–733CrossRef Rice JR (1970) On the structure of stress-strain relations for time-dependent plastic deformation of metals. J Appl Mech, Trans ASME 37:728–733CrossRef
Zurück zum Zitat 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 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
Zurück zum Zitat Robertson EC (1955) Experimental study of the strength of rocks. Geol Soc Am Bull 66:1275–1314CrossRef Robertson EC (1955) Experimental study of the strength of rocks. Geol Soc Am Bull 66:1275–1314CrossRef
Zurück zum Zitat Shawki TG, Clifton RJ (1989) Shear band formation in thermal viscoplastic materials. Mech Mater 8:13–43CrossRef Shawki TG, Clifton RJ (1989) Shear band formation in thermal viscoplastic materials. Mech Mater 8:13–43CrossRef
Zurück zum Zitat Smith AI, Nicolson AM (eds) (1971) Advances in creep design, Applied Science Publisher, London, 485 pp Smith AI, Nicolson AM (eds) (1971) Advances in creep design, Applied Science Publisher, London, 485 pp
Zurück zum Zitat Zener C (1948) Elasticity and anelasticity of metals. University of Chicago Press, Chicago, 170 pp Zener C (1948) Elasticity and anelasticity of metals. University of Chicago Press, Chicago, 170 pp
Zurück zum Zitat Ziegler H (1977) An introduction to thermomechanics. North-Holland Publishing Co, Amsterdam, 308 pp Ziegler H (1977) An introduction to thermomechanics. North-Holland Publishing Co, Amsterdam, 308 pp
Metadaten
Titel
Mechanical Fundamentals
verfasst von
Mervyn S. Paterson
Copyright-Jahr
2013
Verlag
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-007-5545-1_4