Abstract
The subject of geodynamics concerns the dynamics of the global motion of the earth, of the motion in the earth’s interior and its interaction with surface features, together with mechanical processes in the deformation and rupture of geological structures. A brief historical review is given from Sir I. Newton, Maclauwin, Jacobi, Poincaré, Poisson, Lamé, Darwin, Rayleigh, and Love, who dealt with the homogeneous sphere, to Leibenson, Takeuchi, and Meinesz, concentrating on layered spheres, and after the advent of plate tectonics, on the use of numerical simulation, to the analyses of tectonic features, earthquake mechanism, the application of nonlinear dynamics. By discussing the forward and inverse mechanical problems, and the questions facing the inverse problems of searching for the structural parameters, driving forces, etc. are raised in more detail. Thereafter, some works accomplished in China on the global and regional stress fields analyses; tectonic features’ analyses, mantle flow studies; experimental studies of rocks and their constitutive relations are presented. Finally, the interdisciplinary nature of the subject is emphasized, and the main mechanical problems that need special attention are then proposed.
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References
Ahrens, T. J., Application of shock wave data to earth and plenetary science, In Shock Waves in Condensed Matter(ed. Gupta, Y.. M.) ( Plenum, New York 1986 ) 571 pp.
Ahrens, T. J., and O’Keefe, J. D. (1987), Impact on the Earth Ocean and Atmosphere, Int. J. Impact Eng. 5, 13–32.
Airy, G. B. (1855), Phil. Trans. Roy. Soc. London 145, 101.
Aki, K., and Richards, P. G., Quantitative Seismology: Theory and Methods, Vol. 2 (W.H. Freeman and Co. 1980).
Anderson, E. M., The Dynamics of Faulting (Oliver and Boyd, Edinburgh 1951).
Artyushkov, E. V., Geodynamics (Elsevier, Amsterdam 1983).
Ashby, M. F., and Verrall, R. A. (1977), Micromechanism of Flow and Fracture and Their Relevance to the Rheology of the Upper Mantle, Phil. Trans. Roy. Soc. London A288, 59–95.
Biot, M. A., Mechanics of Incremental Deformation (John Wiley, 1965).
Bolt, B. A., and Deer, J. S. (1969), Global Free Oscillation of the Earth, Vista in Astronomy 11, 69–102.
Buffet, B. A., Mathews, P. M., and Shapiro, I. I. (1993), Forced Nutations of the Earth
Contributions from the Effects of Ellipticity and Rotation on the Elastic Deformations, J. Geophys. Res. 98 (B12), 21659–21676.
Burov, E. B., and Diamont, M. (1992), Flexure of the Continental Lithosphere with Mulitlayered Rheology Geophys J. Int. 109, 449–468.
Burridge, R., and Knopoff, L. (1967), Model and Theoretical Seismicity, Bull. Seismol. Soc. Am. 57, 341–371.
Cai, Y. E., Yin, Y. Q., and Wang, R. (1992), The Influence of Thermal State on Earthquake Occurrence Acta Geophys. Sinica 35(2), 204–213.*
Chandrasekhar, S., Ellipsoidal Figures of Equilibrium (Yale Univ. Press 1969).
Chen, Q. (1986), Mechanical Study on Gravitational Structure — Mechanical Analysis of Listric Fault, Seismol. and Geology (Beijing, English version) 8 (3), 22–31.
Christensen, U. (1983), Convection in a Variable Viscosity Fluid: Newtonian vs. Power Law Rheology, Earth and Planet. Sci. Lett. 64, 153–162.
Darwin, G. H. (1882), On the Stresses Caused in the Interior of the Earth by the Weight of Continents and Mountains, Phil. Trans. Roy. Soc. London 59, 187–230.
Dieterich, J. H., and Onat, T. (1969), Slow Finite Deformation of Viscous Solids, J. Geophys. Res. 74, 2081–2088.
Ding, Z. Y., Jia, J. K. and Wang, R. (1983), Seismic Triggering Effect of Tidal Stress, Tectonophys. 93, 319–335.
Ding, Z. Y., and Shen, Y. Q. (1991), Quasi-static Response of a Layered Viscoelastic Half-space to General Surface Loading, Phys. Earth Planet. Int. 66, 278–289.
Ding, Z. Y., and Shen, Y. Q. (1993), An Inversion of Physical Parameters of the Earth’s Interior in the Qaidumu Basin, Acta Geophys. Sinica 35 (5), 615–620.*
Ding, Z. Y., and Wang, R. (1986), Global Displacement and Stress Fields due to Tidal Attraction, Acta Geophys. Sinica 29 (6), 578–596.*
Dziewonski, A. M., and Anderson, D. L. (1981), Preliminary Reference Earth Model, Phys. Earth Planet. Inter. 25, 297–356.
Fang, H., and Jin, J. S. (1992), The Determination of Shear Fracture Energy of Marble under Triaxial Compression, Acta Geophys. Sinica 35 (6), 748–752.*
Fowler, A. C. (1993), Boundary Layer Theory and Subduction, J. Geophys. Res. 98 (B12), 21997–22006.
Frick, H., Busse, F. M., and Clever, R. M. (1983), Steady 3-D Convection at High Prandtl Numbers, J. Fluid Mech. 127, 141–153.
Fu, R. S., and Huang, J. H. (1990), Global Stress Pattern Constrained on Deep Mantle Flow and Tectonic Features, Phys. Earth Planet. Int. 60, 314–323.
Fu, R. S., and Huang, J. H. (1993), Mantle Convection Model Constrained on Several Geophysical Data, Acta Geophys. Sinica 36 (3), 297–307.*
Fu, R. S., Lin, F., and Huang, J. H. (1992), Plate Absolute Motion and Thermal Mantle Convection, Acta Geophys. Sinica 35 (1), 52–61.*
Fu, S. Q., Jin, X. G., Wang, D. D., and Chen, P. S. (1993), Application of Equation of State of Nadan Iron Meteorite to Earth’s Core, Acta Geophys. Sinica 36 (2), 158–163.*
Gao, X. L., Luo, H. Y., and Neugebauer (1989), 3-Dimensional Numerical Modeling for the Dynamics of the Continental Collision, Seismol. and Geology 9 (2), 65–73.*
Glatzmaier, G. R. (1988), Numerical Simulations of Mantle convection: Time-dependent, 3-dimen- sional, Compressible, Spherical Shell, Geophys. Astrophys. Fluid Dyn. 43, 223–267.
Glatzmaier, G. R., and Schubert, G. (1993), 3-Dimensional Spherical Model of Layered and Whole Mantle Convection, J. Geophys. Res. 98 (B12), 21969–21976.
Glikson, A. Y. (1995), Asteroid /Comet Mega-Impacts May Have Triggered Major Episodes of Crustal Evolution, EOS Trans. Am. Geophys. Union 76(6),49–55.
Griggs, D. T. (1939), A Theory of Mountain Building, Am. J. Sci. 237 (9), 611–650.
Gutenberg, B., Rheological problems of the earth interior. In Rheology, vol. II (ed. Eirich, F. R.) (Acad. Press, 1958) pp. 401–431.
Hager, B. H., and O’Connell, R. J. (1978), Subduction Zone Dip Angles and Flow Driven by Plate Motion, Techonophys. 50, 111–133.
Huang, J. F., Wang, Z. Y., and Zhao, Y. H. (1993), The Development of Rock Fracture from Microfracturing to Main Fracture Formation, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 30 (7), 925–928.
Huang, Q. H. (1974), Analytic and Experimental Study of en echelon Structures, Scientia Sinica 7 (5), 492–500 (in Chinese).
Jeans, J. H. (1903), On the Vibration and Stability of a Gravitating Planet, Phil. Trans. Roy. Soc. London A201.
Jeffreys, H. (1917), Month. Notice Roy. Astro. Soc. 77, 449. The Earth, 4th ed. (Camb. Univ. Press 1957).
Jia, J. K., and Wang, R. (1981), Variation of Earth Rotation Speed and Earthquake Triggering, Seismol. Res. 2, 1–9 (in Chinese).
Jian, F. Y., and Li, Y. T. (1989), Magma Ascent Through the Lithosphere, Scientia Sinica 32B, 518–522.
Jiang, W., and Song, H. Z. (1987), A Viscoelastic Finite Element Model for Earthquake Migration in Beijing and its Neighbourhood, Acta Seismologica Sinica, 9 Suppl., 337–344.
Karman, Th. Von, (1911), Festigkeitsversuche unter allseitigem Druck, Z. Ver. t. Ing. 55, 1749–1757.
Kawamoto, T. (1988), Deformation and Fracturing Behavior of Discontinuous Rock Mass and Damage Mechanics Theory, Int. J. Num. Anal. Geo. 12, 1–30.
Kelvin, W. L. (1863), On the Rigidity of the Earth, Phil. Trans. Roy. Soc. London 153, 573.
Kopitzke, U. I. (1979), Finite Element Convection Models: Comparison of Shallow and Deep Mantle Convection and Temperature, J. Geophys. 46, 97.
Kostrov, B. V. (1974), Seismic Moment and Energy of Earthquakes and Seismic Flow of Rock, Isvestiya Phys. of Solid Earth, 13–21.
LamÉ, M. G. (1854), L’equilibre d’Elasticite des Enveloppes Spheriques, J. de Math. Pure and Appl. 19, 51.
Lan, L. B., and Wang, R. (1987), Finite-element Analysis of an Overturned Fold Using a Viscous Fluid Model, Techtonophys. 139, 309–314.
Lee, J. S., Introduction to Geomechanics (Gordon and Breach Sci. Pub. Inc. New York 1984).
Leibenson, L. C. (1915), Deformation of Elastic Sphere with Connection to Problems of Earth’s Structure, Isv. Acad. Sci. USSR, 185–226 (in Russian).
Li, Y. T., and Guan, D. X. (1979), Driving Mechanism of Sea Floor Spreading, Scientia Sinica 22 (3), 281–292.
Li, Y. T., Meissner, R. O., and Xue, E. (1985), Mechancal and Thermal Structure of a Cylindrical Plume in the Earth’s Mantle, Scientia Sinica 28 (Bl), 92–100.
Liang, H. H., Jia, J. K., and Wang, R. (1986), Numerical Simulation of the Relationship between Earthquake and Stress Field in Southwestern China, Acta Seismologica Sinica, Suppl., 48–55.*
Love, A. E. H., Some Problems of Geodynamics (Camb. Univ. Press 1911).
Mathews, P. M., Buffett, B. A., Herring, T. A., and Shapiro, I. I. (1991), Forced Nutations of the Earth: Influence of Inner Core Dynamics, J. Geophys. Res. 96, 8219–8242.
Meinesz, F. A. V. (1947), Shear Patterns of the Earth Crust, EOS Trans. Am. Geophys. Union 28 (1).
Meinesz, F. A. V. (1948), Major Tectonic Phenomena and the Hypothesis of Convection Currents in the Earth, Quart. J. Geol. Soc. London 103, 191–207.
Minister, J. B., Jordan, T. H., Molner, P., and Haines, E. (1974), Numerical Modelling of Instantaneous Plate Tectonics, Geophys. J. R. Astr. Soc. 36, 541–576.
Mologenskii, M. C. (1953), Elastic Flow, Free Nutation and Some Problems of Earth Structure, Isv. Acad. Sci. USSR 19, 3–52 (in Russian).
Montagner, J. P., and Anderson, D. (1989), Constrained Reference Mantle Model, Phys. Earth. Planet. Inter. 58, 205–227.
Nadai, A., and Wahl, A. M., Plasticity (McGraw Hill 1931).
Niu, Z. R., and Shi, X. J. (1992), Statistical Theory of Rock Fractal Fracture, Acta Seismologica Sinica 35 (5), 574–603.*
O’Keefe, T. J., and Ahrens, T. J. (1989), Impact Production of C0 2 by the Cretaceous Tertiary Extension Bolide and the Resultant Heating of the Seismological Laboratory, Nature 338, 247.
Pan, E. N., Ding, Z. Y., and Wang, (1986), The Response of a Spherically Stratified Earth Model to Body Force and Surface Potencial Load, Acta Sci. Natur. Univ. Pekin 22, 66–80*
Pekeris, G. L. (1935), Mon. Not. R. Astron. Soc. Geophys. Suppl. 3, 343.
Peltier, W. R., and Farrell, W. E., and Clark, J. A. (1978), Glacial Isostasy and Relative Sea Level A Global Finite Elemet Model, Tectonophys. 50(2/3), 81–110.
Poisson, S. D. (1829), Memoire sur l’Equilibre et le Mouvemant des Corps Elastiques, Mem. de L’Acad. 8.
Press, F. (1970) Earth Model Consistent with Geophysical Data, Phys. Earth Planet. Inter. 3, 3–22.
Rayleigh, L. (1887), Wave Propagated over the Surface of an Isotropic Elastic Solid Body, London Math. Soc. Proc. 17, Sci. Papers, vol. 2, p. 441.
Rice, J. R. The mechanisms of earthquake rupture. In Proc. Intern. School of Physics, “Enrico Fermi” (Italian Phys. Soc. 88, ed. by Boschi, E. and Dziewonski, North Holland Pub. Amsterdam 1980) pp. 555–649.
Rice, J. R. (1993), Spatio-temporal Complexity of Slip on a Fault, J. Geophys. Res. 98 (B6), 9885–9907.
Richardson, R. M., Solomon, S. C., and Sleep, N. H. (1979), Tectonic Stress in the Plates, Rev. Geophys. Space Phys. 17, 981–1019.
Richardson, R. M., and Cox, B. L. (1984), Evolution of Oceanic Lithosphere: A Driving Force Study of the Nazca Plate, J. Geophys. Res. 89, 10043–10052.
Richardson, R. M., and Reding, L. M. (1991), North American Plate Dynamics, J. Geophys. Res. 96, 12201–12223.
Runcorn, S. K. (1964), Satellite Gravity Measurement and a Laminar Viscous Flow Model of the
Earth’s Mantle, J. Geophys. Res. 69, 4389–4394.
Rundle, J. B. (1993), Magnitude-frequency Relations for Earthquake Using a Statistical Mechanical Approach, J. Geophys. Res. 98 (B12), 21943–21950.
Rundle, J. B., and Turcotte, D. L., New directions in theoretical studies of tectonic deformation: A survey of recent progress, In Contributions of Space Geodesy to Geodynamics: Crustal Dynamics (ed. Smith, D. E., and Turcotte, D. L.), (AGU Press, 1993) pp. 107–129.
Scheidegger, A. E., Principles of Geodynamics, 3rd ed. (Springer, Berlin 1982).
Scholz, C. H., The Mechanics of Earthquake and Faulting (Camb. Univ. Press, 1990).
Shen, Y. Q., and Ding, Z. Y. (1994), A Study of the Subsidence Mechanism of the Qaidamu Basin, Acta Sci. Natur. Univ. Pekin 30 (2), 194–201.*
Shi, G. R., and Kuo, J. T. (1989), Dynamic Simulation System of Sedimentary Basin, Geophys.
Prospecting of Petroleum, Bejing 27 (3/4), 1–15, 29–46.*
Shi, Y. L., and Wang, C. Y. (1993), Roll-back Subduction and Back-arc Opening, Acta Geophys. Sinica 36 (1), 37–43.*
Shi, Y. L., Zhu, Y. Q., and Shen, X. J. (1992), Tectonic Processes and Thermal Evolution of the
Qinghai-Xizang (Tibetan) Plateau, Acta Geophys. Sinica 35 (6), 710–720.*
Sornette, A., Sornette, D. (1989), Self-organized Criticality and Earthquakes, Europhys. Lett. 9, 197–202.
Steacy, S. J., and Sammis, C. G. (1992), A Damage Mechanics Model for Fault Zone Friction, J.
Geophys. Res. 97 (B1), 587–594.
Stewart, C. A., and Turcotte, D. L. (1989), The Route to Chaos in Thermal Convection at Infinite Prandtl Number, J. Geophys. Res. 94B, 13707–13717.
Stuart, W. (1979), Strain Softening Prior to Two-dimensional Strike-slip Earthquake, J. Geophys. Res. 84, 2153–2160.
Sun, X. Y. (1994), The Influence of Retrograde Migration of the Trench on Mantle Convection, Acta Geophys. Sinica 37(6).*
Sun, X. Y., and Huang, X. H. (1994a), Structural Stress Field of Zhujiang Delta and Surrounding Area Before Honghai Bay Earthquake in 1911, Acta Geophys. Sinica, in press.*
Sun, X. Y., Liu, J. Y., and Wang, R. (1994b), The Simulation of Coseismic and Postseismic Crustal Deformation due to Tangshan Earthquake in 1976, Acta Geophys. Sinica 37(1), 45–55.*
Takeuchi, H. (1950), On the Earth Tide in the Compressible Earth of Varying Density and Elasticity Trans. Am. Geophys. Union 31, 651–689.
Tan, T. K, He, Z. T., and Zheng, J. Z. (1982), A physico-rheological model for the Large Tangshan Earthquake, Tectonophys. 85, 123–148.
Teng, C. K., Bai, W. M., and Wang, X. H. (1993), The Stress Field Features in the Multi-faulting
Medium with Friction, Acta Geophysica Sinica 35 (4), 469–478.*
Toki, K., Cai, Y. E., and Zhao, Z. D. (1989), A Work Softening Joint Element Used in Dynamic
Analysis of Soil Structure, Acta Mechanica Sinica (English version) 5 (4), 353–360.
Torrance, K. E., and Turcotte, D. L. (1971), Thermal Convection with Layer Viscosity Variations, J. Fluid Mech. 47, 113–125.
Turcotte, D. L., and Oxburgh, E. R. (1967), Finite Amplitude Convection Cells and Continental Drift, J. Fluid Mech. 28, 29–42.
Turcotte, D. L. (1979), Flexure, Advances in Geophys. 21, 51–86.
Turcotte, D. L., and Schubert, G., Geodynamics—Applications of Continuum Physics to Geological Problems (John Wiley and Sons, Inc. 1982) 450 pp.
Turcotte, D. L., Fractal and Chaos in Geology and Geophysics (Cambridge Univ. Press, 1992) 221 pp.
Wang, Q. M., and TÖksÖz, N. M. (1983), A Finite Element Model for Sluggish Accumulation and
Relaxation of the Stress along the Fault Zone, Seismol. and Geology 5 (3), 43–53.*
Wang, R. (1983), A Short Note on the Inversion of Tectonic Stress Field, Tectonophys. 100, 405–411.
Wang, R., and Ding, Z. Y., Axi-symmetric Global stress field due to change of earth’s rotation and to tidal attraction. In Proc. Astro-Geodynamic Conf. 1978 (Shanghai Astron. Obs. Press 1978) 8–21 (in Chinese).
Wang, R., He, G. Q., and Wang, Y. F. (1980), On the Global Tectonic Stress Field due to the Variation of Earth’s Rotation, presented at 26th IGC, Paris.
Wang, R., Sun, X. Y., and Cai, Y. E. (1983), A Mathematical Simulation of Earthquake Sequence in North China in the Last 700 Years, Scientia Sinica 26 (Bl), 103–112.
Wang, R., Yin, Y. Q., and Cai, Y. E. (1993), Constitutive Modeling of Softening Behavior of Earth
Fault, presented in Plasticity –93, Baltimore.
Wang, R., Zhao, Y. S., Chen, Y., Yan, H., Yin, Y. Q., Yao, C. Y., and Zhang, H. (1987), Experiment and Finite Element Simulation of X-type Shear Fractures from a Crack in Marble, Tectonophys. 144, 141–150.
Wang, W. X., and Han, Y. Y. (1978), Mechanical analysis of checkerboard structure. In Proc.
Geomechanics, No. 4 (Geology Press, Beijing 1978) (in Chinese).
Wu, C. H., and Cao, G. Z. (1984), Buckling Problems in Finite Plane Elasticity-harmonic Materials, Quart. Appl. Math. 41(4), 461–474.
Wu, J. P., and Liu, Y. L. (1992), A Study on the Relation Between Satellite Gravity Anomalies, Mantle Convection Stress and Modern Plates Movement, Acta Geophys. Sinica 35 (5), 604–612.*
Xie, H. S., Zhang, Y. M., Xu, H. G. et al. (1993), A New Method of Measurement for Elastic Wave Velocities in Minerals and Rocks at High Temperature and High Pressure and its Significance, Science in China 36 (B10), 1276–1280.
Xu, Z. H., Wang, S. Y., and Yu, Y. X. (1992), Inversion of Stress Direction Data by Finite Element Analysis to Obtain Plate Boundary Forces, Acta Seismol. Sinica (English edition) 6 (1), 111–122.
Yang, G. Y. (1982), A Study of Strong Earthquake and the Tectonic Stress Field of Southwestern China and its Adjacent Areas, Acta Seismologica Sinica 4 (2), 182–189.*
Ye, Z. R., Bai, W. M., and Teng, C. K. (1993), The Numerical Modeling of Mantle Convection and its Relationship to Surface Observations, Acta Geophys. Sinica 36 (1), 27–36.*
Ye, Z. R., and Hong, M. D. (1983), The Action of the Mantle Asthenosphere on the Plates, Driving or Dragging, Acta Geophys, Sinica 26 Suppl., 651–659.*
Zang, S. X. (1983), The Effect of Infiltration of Water and Mechanism and Characteristics of Earthquake in Xinfengjiang Reservoir, Seismol. and Geology 5 (2), 59.*
Zhan, S. X., and Ning, J. Y. (1994), The Negative Buoyancy of the Subduction Zone and its Affecting Factors, Acta Geophys. Sinica 37(2), 174–183.*
Zhang, D. N., and Gao, L, S. (1989), 3-Dimensional Numerical Simulation of Eastern Asian Stress Field, Earthq. Res. in China 5 (4), 24–33.
Zhang, L. M., and Tang, X. M. (1983), The Underthrusting Movement of the Western Pacific Plate and the Deep Focus Earthquake Zone of Northeast China, Acta Geophys. Sinica 26, 331–340.*
Zhang, S., and Yuen, D. A. (1987), Deformation of the Core-mantle Boundary Induced by Spherical Shell Compressible Convection, Geophys. Res. Lett. 14, 899–902.
Zhang, S., Yuen, D. A., and Langenberger, S. E. (1988), Effect of Compressibility on the Temperature Jump at the Interface of Layered Spherical Shell Convection, Geophys. Res. Lett. 15, 447–450.
Zhao, Y. H., Huang, J. F., and Wang, R. (1993a), SEM Study of Fracture Development in Compressed Marble Specimen and Implications for Earthquake Precursors, Acta Geophys. Sinica 36 (4), 453–462.*
Zhao, Y. H., Huang, J. F., and Wang, R. (1993b), Fractal Characteristics of Mesofractures in Compressed Rock Specimens, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 30 (7), 877–882.
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Wang, R. (1995). Mechanical Problems in Geodynamics and Work Done in China. In: Wang, R., Aki, K. (eds) Mechanics Problems in Geodynamics Part I. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9065-6_2
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