Abstract
The finite element method (FEM) has now become recognized as a general method with wide applications in engineering and applied mechanics. FEM was originally developed in the field of structural analysis. All the problems were linear in the sense that they involve the solution of sets of linear algebraic equations. It is the linear elastic FEM.
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References
American Institute of Aeronautics and Astronautics (1999) Effect of failure criterion used by NASA. Technical Documentation.
An M, Yu MH and Wu X (1991) Applications of generalized twin shear yield criterion in rock mechanics. Rock and Soil Mech., 12(1): 17–26 (in Chinese, English abstract).
Altenbach H and Kolupaev VA (2008) Remarks on Model of Mao-Hong Yu. The Eighth International Conference on Fundamentals of Fracture (ICFF VIII), Zhang TY, Wang B and Feng XQ eds. pp 270–271.
Anandarajah A (2010) Computational Methods in Elasticity and Plasticity: Solids and Porous Media. Springer: New York.
Bai XY (2005) The Application of the Unified Strength Theory for Stability of Slope. Master’s Dissertation, Chang’an University.
Bathe KJ (1996) Finite Element Procedures. Prentice Hall of India, New Delhi.
Belytschko T, Liu WK and Moran B (2000) Nonlinear Finite Elements for Continua and Structures. John Wiley, Chichester: New York.
Bonet J and Wood RD (1997) Non-linear Continuum Mechanics for Finite Element Analysis. Cambridge University Press: London.
de Borst R (1987) Integration of plasticity equations for singular yield functions. Comput. Struct., 26: 823–829.
de Borst R (1989) Computational strategies for strongly curved and non-smooth yield criteria with applications to localisation atof deformion. In: Computational Plasticity: Models, Software and Applications, Ed. by Owen, DRJ, Hinton E and Onate E, Pineridge Press Ltd., pp 237–261.
de Borst R, Pankaj and Bićani N (1991) A note on singularity indicators for Mohr-Coulomb type yield criteria. Computers & Structures, 39(1–2): 219–220.
Brebbia CA. ed. (1985) Finite Element Systems (A Handbook), Springer-Verlag: Berlin.
Chen WF (1982) Plasticity in Reinforced Concrete. McGraw-Hill: New York, pp 190–252.
Chen WF and Baladi GY (1985) Soil Plasticity: Theory and Implementation. Elsevier: Amsterdam.
Chen WF and Mizuno E (1990) Nonlinear Analysis in Soil Mechanics: Theory and Implementation. Elsevier: Amsterdam.
Chen WF and Saleeb AF (1994) Constitutive Equations for Engineering Materials. Vol.1: Elasticity and Modeling, Revised edn. Elsevier: Amsterdam, pp 259–304, 462–489.
Chen WF et al. (1994) Constitutive Equations for Engineering Materials. Vol. 2: Plasticity and modeling. Elsevier: Amsterdam.
Chen WF and Zhang H (1991) Structural Plasticity: Theory, Problems and CAE Software, Springer-Verlag, pp 125–168.
Cook RD, Malkus DS and Plesha ME (1989) Concepts and Applications of Finite Element Analysis, third edition, John Wiley and Sons: New York.
Crisfield M (1991) Non-linear Finite Element Analysis of Solids and Structures. Vol 1: Essentials John Wiley and Sons: Chichester.
Crisfield M (1996) Non-Linear Finite Element Analysis of Solids and Structures. Vol 2: Advanced Topics. John Wiley and Sons: Chichester.
Crisfield M (1997) Non-linear Finite Element Analysis of Solids and Structures. John Wiley and Sons: Chichester.
Davis RO and Selvadurai APS (2002) Plasticity and Geotechnics. Cambridge University Press: Cambridge.
Doltsinis IS ed. (1989) Advances in Computational Nonlinear Mechanics (CISM) Springer-Verlag: Wien.
Desai CS and Gioda G. eds. (1990) Numerical Methods and Constitutive Modeling in Geomechanics, Springer: Wien.
Dixit PM and Dixit US (2008) Modeling of Metal Forming and Machining Processes by Finite Element and Soft Computing Methods. Springer: London.
Dunne FPE and Petrinic N (2005) Introduction to Computational Plasticity. Oxford University Press: Oxford.
Ehlers W (1999) IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials, Kluwer Academic Publishers: Dordrecht.
Fan SC and Qiang HF 2001 Normal high-velocity impaction concrete slabs-a simulation using the meshless SPH procedures. In: Computational Mechanics-New Frontiers for New Millennium, Valliappan S. and Khalili N. eds. Elsevier Science Ltd, pp 1457–1462.
Fen TG and Du B (2010) Dynamic analysis of the 500kV underground transformer substation for Shanghai World EXPO, to be published.
FLAC-3D (1997) Fast Lagrangian Analysis of Continua in 3-Dimensions, Version 2.0. User’s Manual, Itasca Consulting Group, Inc (US).
Frieman PA and Pan J (2000) Effects of plastic anisotropic and yield criteria on prediction of forming limit curves. Int. J. Mech. Sci., 42: 29–48.
Griffiths DV and Gioda Ged (2000) Advanced Numerical Applications and Plasticity in Geomechanics. Springer: Wien.
Haderbache L and Laouami N (2010) The effect of failure criterion on slope stability analysis. The Electronic Journal of Geotechnical Engineering, 15A.
Han W and Reddy BD (1999) Plasticity: Mathematical Theory and Numerical Analysis. Springer: New York.
Haythornthwaite RM (1961) Range of yield condition in ideal plasticity. J. Eng. Mech., 87: 117–133.
Hinton E and Owen DRJ (1979) An Introduction to Finite Element Computations. Pineridge Press: Swansea.
Hopperstad OS, T. Berstad, H. Ilstad et al (1998) Effects of the yield criterion on local deformations in numerical simulation of profile forming. Journal of Materials Processing Technology, 80–81.
Huang XP and Cui WC (2006) Effect of bauschinger effect and yield criterion on residual stress distribution of autofrettaged tube (Gun Tubes Conference, Oxford, 2005). Journal of Pressure Vessel Technology, 128(2): 212–216.
Hughes TRJ (1987) The Finite Element Method. Prentice-Hall, Englewood Cliffs, N.J.
Humpheson C and Naylor DJ (1975) The importance of the form of the failure criterion. C/R/243/75, University of Wales: Swansea, UK.
Inoue T, Kitagawa H and Shima S eds. (1990) Computational Plasticity. Elsevier Appl. Science: London and New York.
Jeremic B and Sture S (1997) Implicit Integrations in Elastoplastic Geotechnics, J. Mechanics of Cohesive-Frictional Materials, 2(2): 165–183.
Jeremić B, Yang ZH, Chen Z et al. (2010) Lectures Notes on Computational Geomechanics: Inelastic Finite Elements for Pressure Sensitive Materials, version 2.1(University of California, Davis).
Khan AS and Huang S (1995) Continuum Theory of Plasticity, John Wiley and Sons Inc: New York.
Khoei AR (2005) Computational Plasticity in Power Forming Processes. Elsevier: Amsterdam.
Kobayashi AS, Oh SI and Altan T (1989) Metal Forming and the Finite Element Method. Oxford University Press: New York.
Koiter WT (1953) Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with singular yield surface, Quart. Appl. Math., 11: 350–354.
Kojic M and Bathe KJ (2005) Inelastic Analysis of Solids and Structures. Springer: Berlin.
Kotsovos MD and Pavlovic MN (1995) Structural Concrete: Finite Element Analysis for Limit-State Design. Thomas Telford Publ: London, pp 83–103.
Kou XD, Zhou WY, and Ang RQ (2001) Stability analysis on the high slopes of Three-Gorges shiplock using FA\LAC-3D. Chin. J. Rock Mech. Eng., 20(1): 6–10.
Kuroda M and Tvergaard V (2000) Forming limit diagram for anisotropic metal with different yield criteria. Int. J. Solids & Structures, 37: 5037–5059.
Larson R and Runesson K (1996) Implicit integration and consistent linearization for yield criteria of the Mohr-Coulomb type. Mech. Cohesive-Friction Mater, 1: 367–383.
Lewis RW and Schrefler BA (1987) The Finite Element Method in the Deformation and Consolidation of Porous Media. John Wiley & Sons: Chichester.
Fen TG and Du B (2010) Dynamic analysis of the 500kV underground transformer substation for Shanghai World EXPO, to be published.
Li J, Lu XY and Zhao XW (2008) Topology optimization based on bi-directional evolutionary structure of unified strength. Journal of Shandong Jianzhu University, 23(1): 65–69.
Li K and Chen GR (2010) Finite element analysis of slope stability based on slip line field theory. J. Hohai University (Natural Sciences), 38(2): 191–195.
Li Y (2008) In-situ Stress Measurement and Stability Analysis Based on the Unified Strength Theory in Large Scale Underground Caverns Zone. Doctoral Dissertation, Beijing Scientific and Technical University.
Li Y and Qiao L (2012) Stability Analysis of Underground Caverns based on the Unified Strength Theory. In: Computational Plasticity, Zhejiang University Press & Springer Berlin Heidelberg: Heidelberg, pp 369–398.
Li YM, Ishii K, Nakazato C and Shigeta T (1994) Prediction of safety rate and multi-slip direction of slip failure under complex stress state. Advances Eng. Plasticity and its Applications. Xu B.Y and Yang W eds. International Academic Publishers: Beijing, pp 349–354.
Li YM. and Ishii K (1998) The Evaluation of the Elasto-plastic Behavior of Composite Materials under Biaxial Stress with Homogenization Method, Proc. of the Conference on Computational Engineering and Science, 3: 1023–1026. JSCES.
Li YM. and Ishii K (1998) The Evaluation of Strength for Composite Materials. In: Strength Theory, Application, Development and Prospects for 21st Century, Science Press: New York, pp 337–342.
Liang JL (2004) Fracture and Failure Mechanism of Concrete Road and its Applications. Doctoral Dissertation, Changan University, Xi’an, China.
Liang ZZ (2005) Three-Dimensional Failure Process Analysis of Rock and Associated Numerical Tests. Doctoral Dissertation, North-East University, Shenyang, China.
Liu F, Li LY and Mei ZX (1994) Elasto-visco-plastic finite element analysis of self-enhanced thick cylinder. Chinese J. of Appl. Mechanics, 11(3): 133–137 (in Chinese, English abstract).
Liu GH and Wang ZY (2004) Dynamic response and blast-resistance analysis of a tunnel subjected to blast loading. Journal of Zhejiang University (Engineering Science), 38(2): 204–209.
Ma ZY and Liao HJ (2012) Unified strength theory and FLAC-3D. In: Computational Plasticity, Zhejiang University Press & Springer Berlin Heidelberg: Heidelberg, pp 417–446.
Marques, J.M. (1984), Stress computation in elastoplasticity, Engineering Comput., 1:42–51.
Mattsson H, Axelsson K and Klisinski M (1999) On a constitutive driver as a useful tool in soil plasticity. Advances in Engineering Software, 30: 511–528.
Miyoshi T (1985). Foundations of the numerical analysis of plasticity. North-Holland: Amsterdam, New York.
Moin K and Pankaj (1998) Post-peak behavior simulation using different failure theories. Strength Theory: Applications, Developments and Prospects for the 21st Century. Yu MH and Fan SC eds. Science Press: New York, Beijing, pp 1121–1126.
Nakai T and Matsuoka H (1980) In: Proceedings of Society of Japanese Civil En gineering Report, No.303, 65–77, and Matsuoka H (2001) Soil Mechanics (Chinese edition). China Hydraulic and Power Press: Beijing, p 142.
Nayak GC and Zienkiewicz CC (1972) Convenient form of stress invariants for plasticity, J. Struct. Div., ASCE, 4: 949–953.
Neto EAS, Periæ D and Owen D.R.J (2009) Computational Methods for Plasticity: Theory and Applications. Wiley: New York.
Nielsen MP (1991) Limit Analysis and Concrete Plasticity. Second Edn. CRC Press: London.
Oden JT (1972) Finite Elements of Nonlinear Continua. McGraw-Hill: New York.
Oñate E and Owen R eds (2007) Computational Plasticity. Springer.
Ortiz M and Popov EP (1985) Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Int. J. Numer. Methods in Eng., 21: 1561–1576.
Ortiz M, Leroy Y and Needleman A (1987) A finite element method for localized failure analysis. Computer Methods Appl. Mech. Eng., 61: 89–124.
Ortiz M and Shih CF eds. (1994) IUTAM Symposium on Computational Mechanics and Materials. J. Modeling and Simulation in Material Sci. and Eng., 2(3A): 421–782.
Owen D.R.J and Hinton E (1980), Finite Elements in Plasticity: Theory and Practice, Pineridge Press Ltd.: Swansea
Owen DRJ, Hinton E and Onate E (1989) Computational Plasticity: Models, Software and Applications. Pineridge Press Limited, pp 101, 1460.
Owen DRJ, Hinton E and Onate E (1992) Computational Plasticity: Fundamentals and Applications Pineridge Press Ltd.: Swansea
Pan CS (1995) Numerical Method for Tunnel Mechanics. China Railway Engineering Press: Beijing (in Chinese).
Pan XM, Kong J, Yang Z and Liu C (2010) Secondary development and application of unified elastoplastic constitutive model to ABAQUS. Rock and Soil Mechanics, 31(4): 1092–1098.
Pankaj and Bićanić N (1989) On multivector stress returns in Mohr-Coulomb plasticity. In: Second. Int. Conf. Computational Plasticity: Models, Software and Applications, Edited by Owen D.R.J, Hinton E and Onate E. Pineridge Press: Swansea.
Peric D and de Souza Neto EA (1999) A new computational model for Tresca plasticity at finite strains with an optimal parametrization in the principal space. Comput. Methods Appl. Mech. Eng., 171(3–4), 404–489
Pivonka P, Lackner R and Mang HA (2003) Shapes of loading surfaces of concrete models and their influence on the peak load and failure mode in structural analyses. Int. J. Engineering Science, 41(13–14): 1649–1665.
Pramono E and Willam K (1989) Implicit integration of composite yield surface with corners. Engineering Computational, 6: 186–198.
Quint Co. (1993a) COMPMAT-Analysis system for composite materials. FEM codes of Quint Corporation: Japan.
Quint Co. (1993b) COMPMAT-Analysis system for composite materials. FEM codes of Quint Corporation: Japan.
Quint Co. (1994a) PREMAT/POSTMAT-Pre and Post Processor for Composite Materials. FEM Codes of Quint Corporation: Japan.
Quint Co. (1994b) STAMPS-Structural Analysis Program for Civil Engineering. FEM Codes of Quint Corporation: Japan.
Reddy JN (1993) An Introduction to the Finite Element Method, second edition. McGraw-Hill: New York.
Reddy BD ed. (2009) Theoretical Modelling and Computational Aspects of Inelastic Media. Proceedings of IUTAM Symposium, Cape Town, 2008. Springer: Berlin.
Roscoe KH and Poorooshasb HB (1963) A theoretical and experimental study of strains in triaxial compression tests on normally consolidated clays. Geotechnique, 13(1):l2–34.
Roscoe KH, Schofield AN and Thurairajah A (1963) Yielding of clays in states wetter than critical. Geotechnique, 13(3): 211–240.
Roscoe KH and Burland JB (1968) On the generalised stress-strain behaviour of ‘wet’ clay. In: Engineering Plasticity, Cambridge Univ Press, pp535–609.
Runesson K, Sture S, and Willam K (1988), Integration in computational plasticity. Comput. Struct, 30(1–2): 119–130.
Sakash A, Moondra S and Kinsey, BL. (2006) Effect of yield criterion on numerical simulation results using a stress-based failure criterion. J. Eng. Mater. Technol., 128(3): 436–444.
Scheunemann P 2004 The influence of failure criteria on strength prediction of ceramic components. J. of the European Ceramic Society, 24(8): 2181–2186.
Schofield AN and Wroth CP (1968) Critical State Soil Mechanics. McGraw-Hill: New York.
Shao CJ and Qian YJ (2007) Load bearing capability of concrete-filled steel tube component considering effect of intermediate principal stress. Chinese Journal of Applied Mechanics, 24(03): 396–399.
Shao CJ, Wu YH and Qian YJ (2007) Plastic seismic damage of concrete structure based on five-parameter unified strength theory. Chinese Journal of Applied Mechanics, 24(1): 97–101.
Shen ZJ (1993) Comparison of several yield criteria. Rock and Soil Mechanics, 14(1): 41–50 (in Chinese, English abstract).
Shen ZJ (2000) Theoretical Soil Mechanics. China Hydraulic Power Press: Beijing (in Chinese).
Simo JC and Hughes TJR (1998) Computational Inelasticity. Springer-Verlag: New York.
Sloan SW. and Booker JR (1986), Removal of singularities in Tresca and Mohr-Coulomb yield function. Comm. Appl. Num. Meth., 2: 173–179.
Smith DL. ed. (1990) Mathematical Programming Methods in Structural Plasticity. (21 papers, 435 pages) Springer-Verlag: Wien, pp 21, 435.
Smith IM and Griffiths DV (1998) Programming the Finite Element Method, 3rd edition. John Wiley and Sons, Ltd.
Smith IM and Griffiths DV (2004) Programming the Finite Element Method. 4th edition. John Wiley & Sons, Ltd.
Strin E (1993) Progress in Computational Analysis of Inelastic Structures (CISM No.321). Springer-Verlag: Berlin.
Sun HY, Shang YQ, Zhang CS, Ying HP, Li SQ (2004) 3D numerical modeling of possible failure zone with underground excavation. Chinese Journal of Rock Mechanics and Engineering, 23(13): 2192–2196.
Sun HY, Shang YQ and Zhang CS (2004) Numerical modeling analysis for surrounding rockmass stability of large underground cavities. Journal of Zhejiang University (Engineering Science), 38(1): 70–74.
Teodorescu PP (2006) Review of “Unified strength theory and its Applications. Springer, Berlin, 2004”. Zentralblatt MATH 2006, Cited in Zbl. Reviews, 1059.74002 (02115115).
Vermeer PA (1998) PLAXIS—Finite Element Code for Soil and Rock Plasticity. Balkema: Rotterdam.
Wagoner RH and Knibloe JR (1989) The importance of constitutive behavior to sheet forming performance. Advance in Constitutive Laws for Eng. Material. Int. Acad Publ: Beijing, pp 154–158.
Wang D, Chen JK, Wang QZ et al. (2008) The New Method of Structural Reliability Analysis by Monte-Carlo Stochastic Finite Element. J. of Sichuan University (Engineering Science Edition), 40(3): 20–26.
Wang D, Chen JK, Wang QZ, Li YL (2008) Structural Reliability Analysis by Monte-Carlo Based on Conditional Expectation Variance Reduction and Antithetic Variable Sampling. China Rural Water and Hydropower, 5: 66–70.
Wang F and Fan SC (1998) Limit pressures of thick-walled tubes using different yield criteria. Strength Theory: Applications, Developments and Prospects for the 21st Century. Yu MH and Fan SC eds. Science Press: New York, Beijing, pp 1047–1052.
Wang F (1998) Nonlinear finite element analysis of RC plate and shell using the unified strength theory. PhD thesis, Nanyang Technological University, Singapore.
Wang JQ and Lu F (2010) Unified strength theory constitutive model embedded software ABAQUS and its application in tunnel engineering. Journal of Yangtze River Scientific Research Institute, 27(2): 68–74 (in Chinese).
Wang JQ and Lu F, (2012) Implementation of the Unified Strength Theory in ABAQUS and its Application for Tunnel Engineering. In: Computational Plasticity, Zhejiang University Press & Springer Berlin Heidelberg: Heidelberg, pp 269–287.
Wang L and Gao Q (2010) Underground Mining. Chapter14 in this monograph.
Wang L and Lee TC (2006) The effect of yield criteria on forming limit curve prediction and deep drawing process simulation. Int. J. of Machine Tools and Manufacture, 46(9): 988–995.
Wunderlich W, Stein E. and Bathe KJ. Eds (1981) Non-linear Finite Element Analysis in Structural Mechanics. Springer-Verlag.
Yang LQ, Zhang SR (2008) Analysis on textural stress and rock failure of diversion tunnels. Chinese J. of Geotechnical Engineering, 30(6): 813–817.
Yang LQ, Li YQ and Chen ZP (2008) Sudden-crack Phenomenon and Simulation of Surrounding Rock-mass in Diversion Tunnel. China Rural Water and Hydropower, (5): 53–56.
Yang LQ, Zhang SR, Chen ZP. (2009) Adaptive arithmetic of arch dam cracking analysis. J. of Hydraulic Engineering, 40(2): 214–219.
Yin YQ (1984) Loading criteria for a singular yield surface (in Chinese). Acta Mechanica Solida Sinica, 6(2): 282–285.
Yin YQ and Zhou S (1985) Constitutive relation in the singular point of yield criterion for geomaterials. Chinese J. of Rock Mechanics and Eng, 4(1): 33–38.
Yu HS (2006) Plasticity and Geotechnics. Springer: Berlin.
Yu MH (1961a) General behaviour of isotropic yield function. Res. Report of Xi’an Jiaotong University. Xi’an, China (in Chinese).
Yu MH (1961b) Plastic potential and flow rules associated singular yield criterion. Res. Report of Xi’an Jiaotong University. Xi’an, China (in Chinese)
Yu MH (1983) Twin-shear yield criterion. Int. J. Mech. Sci. 25(1): 71–74.
Yu MH (1992) New System of Strength Theory. Xian Jiaotong University Press: Xian, China (in Chinese).
Yu MH (1994) Unified strength theory for geomaterials and its application. Chinese Journal of Geotechinal Engineering, (2): 1–10 (in Chinese, English Abstract).
Yu MH (1998) Twin Shear Theory and Its Applications. The Science Press: Beijing (in Chinese).
Yu MH (2004) Unified Strength Theory and its Applications. Springer: Berlin.
Yu MH and He LN (1991) A new model and theory on yield and failure of materials under complex stress state. In: Mechanical Behavior of Materials-6, Vol. 3, Pergamon Press: Oxford, pp 841–846.
Yu MH and Li YM (1991) Twin shear constitutive theory and its computational implementation. In: Computational Mechanics, Ed. by Cheung YK, Lee JHW and Leung AYT, Balkema: Rotterdam, pp 875–879.
Yu MH and Meng XM (1992) Twin shear elasto-plastic model and its application in geotechnical engineering. Chinese J. Geotech. Eng., 14(3): 71–75 (in Chinese, English abstract).
Yu MH, He LN and Zeng WB (1992) A new unified yield function: Its model, computational implementation and engineering application. Computational Methods in Engineering: Advances and Applications. Tay AAO and Lam KY eds. World Scientific: Singapore, pp 157–162.
Yu MH and Meng XM (1993) Researches in the stability of ancient city wall in Xi’an (in English). Researches in the City Wall in Xi’an. Yu MH, Zhang XP and Fang TP eds. Xi’an Jiaotong University Press: Xi’an, China, pp 168–174 (in Chinese).
Yu MH, Meng XM and Xie S (1993) Researches in the protection and utilization of ancient city wall in Xi’an (in Chinese). Researches in the City Wall in X’ian. Yu MH, Zhang XP and Fang TP eds. Xi’an Jiaotong University Press: Xi’an, China, pp 94–126.
Yu MH et al. (1993, 1998) UEPP User’s Manual, Version 3.0, Research Division of Structural Strength, Dept. of Civil Eng., Xi’an Jiaotong University: Xi’an, China.
Yu MH and Zeng WB (1994) New theory of engineering structural analysis and its application. J. Eng. Mech. 11(1): 9–20 (in Chinese, English abstract).
Yu MH, Yang SY, Fan SC, et al (1997) Twin shear unified elasto-plastic constitutive model and its applications. Chin. J. Geotech Eng., 21(6): 9–18 (in Chinese, English abstract).
Yu MH et al. (2006) Generalized Plasticity. Springer: Berlin.
Yu MH, Ma GW and Li JC (2009) Structural Plasticity: Limit, Shakedown and Dynamic Plastic Analyses of Structures. ZJU Press and Springer: Hangzhou and Berlin.
Yu MH and Meng XM (1992) Twin shear elasto-plastic model and its application in geotechnical engineering. Chinese J. Geotech. Eng., 14(3): 71–75 (in Chinese, English abstract).
Yu MH, Zeng WB (1993) Mesomechanical simulation of failure criterion for a composite material. Macro-Meso-Micro Mechanical Properties of Materials.
Tokuda M, Xu BY eds. Mie Academic Press: Mie, Japan, pp 571–576.
Yu MH, Yang SY, Fan SC, et al. (1997) Twin shear unified elasto-plastic constitutive model and its applications. Chin. J. Geotech Eng., 21(6): 9–18 (in Chinese, English abstract).
Yu MH, Yang SY, Fan SC, Ma GW (1999) Unified elasto-plastic associated and non-associated constitutive model and its engineering applications. Int. J. of Computers & Structures, 71: 627–636.
Yu MH, Wei XY, Yoshimine M, et al. (2001) Effect of failure criterion on elasto-plastic FEM analysis. Invited paper present at the First Asian-Pacific Congress on Computational Mechanics, In: Computational Mechanics-New Frontiers for New Millennium. Valliappan S and Khalili N eds. Elsevier: Amsterdam, pp 1155–1165.
Zhang CQ (2005) Study on method of safety evaluation for rock engineering based on failure approach index. Doctoral Dissertation of Chinese Academy of Sciences, Institute of Rock & Soil Mechanics.
Zhang CQ, Zhou H, Feng XT (2008) Numerical format of elastoplastic constitutive model based on the unified strength theory in FLAC~ (3D) Rock and Soil Mechanics, 29(3): 596–602 (in Chinese, English Abstract).
Zhang XS, Guan H, Yew-Chaye Loo (2001) UST failure criterion for punching shear analysis of reinforcement concrete slab-column connections. In: Computational Mechanics-New Frontiers for New Millennium, Valliappan S. and Khalili N. eds. Elsevier Science Ltd, pp 299–304.
Zhou XQ (2002) Numerical Analysis of Reinforced Concrete using Multi-surface Strength Model. Doctoral thesis of Nanyang Technological University, Singapore.
Zhou XQ (2012) 3D Simulation of normal and oblique penetration and perforation. In: Computational Plasticity, Zhejiang University Press & Springer Berlin Heidelberg: Heidelberg, pp 321–331.
Zhou XQ, Qiang HF and Fan SC (2012) 2D simulation of normal penetration using the unified strength theory. In: Computational Plasticity, Zhejiang University Press & Springer Berlin Heidelberg: Heidelberg, pp 289–320.
Zienkiewicz (1971) The Finite Element Method in Engineering Science. McGraw-Hill: London.
Zienkiewicz OC and Pande GN (1977) Some useful forms of isotropic yield surfaces for soil and rock mechanics. Finite Elements in Geomechanics. Gudehus G. ed. Wiley: London, pp 179–190.
Zienkiewicz OC and Taylor RL (1989) The Finite Element Method, vol. 1, 4th edn, McGraw-Hill: London, New York.
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Yu, MH., Li, JC. (2012). Introduction. In: Computational Plasticity. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24590-9_1
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