Perzyna P,Pecherski R B.Modified theory of viscoplasticity physical foundations ＆ identification of material function for advanced strains[J].Archtectche of Mechanics,1983,35(3):423-436.
[2]
Perzyna P.Fundmental problem in visco-plasticity[M].Advances in Applied Mechanics,1966,9,243-377.
[3]
Martin J B,et al.Internal variable formulations of elastic-plastic dynamic problems[J].Intenational Journal of Impact Engineering,1996,18(7/8):849-858.
[4]
Pagnoni T,et al.A nonlinear three-dimensional analysis of reinforced concrete based on a bounding surface model[J].Computers and Structures,1992,43(1):1-12.
Park S W,Xia Q,Zhou M.Dynamic behavior of concrete at high strain rates and pressures Ⅱ.numerical simulation[J].International Journal of Impact Engineering,2001,(25):887-910.
[8]
Rsguenean F,Gatuingt F.Inelastic behavior modelling of concrete in low and high strain rate dynamics[J].Computers and Structures,2003.81:1287-1299.
[9]
匡震邦.非线性连续介质力学[M].上海:上海交通大学出版社,2002.124-144.
[10]
Belyschko T,et al.Nonlinear Finite Elements for Continua and Structures[M].庄茁译.连续体和结构的非线性有限元.北京:清华大学出版社.2002.64-121.
[11]
Wilfried B K,Rainer P.Elasto-plastic damage-theories and dasto-plastic fracturing theories-a comparison[J].Computational materials science,1998,13(1):117-131.
Yang B L,Dafalias Y F,et al.A bounding surface plasticity model for concrete[J].Journal of Engineering Mechanics,1985,111(3):359-380.
[18]
Puzrin A M,Houlsby G T.A thermomechanical framework for rate-independent dissipative materials with internal functions[J].International Journal of Plasticity.2001,17,1147-1165.
[19]
黄克智,黄永刚.固体本构关系[M].北京:清华大学出版社,1999.
[20]
Houlsby G T,Puzrin A M.A Thermomechanical Framewor for Constitutive Models for Rate-Independent Dissipative Materials[J].International Journal of Plasticity.2000,16,1017-1047.
[21]
Murakami S,Kamiya K.Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics[J].International of Mechanical Science,1997,39(4):473-486.
[22]
Shen X P,Mroz Z,Xu B Y.Constitutive theory of plasticity coupled with orthotropic damage for geomaterials[J].Applied Mathematics and Mechanics,2001,22(9):1028-1034.
[23]
Houlsby C T,et al.Rate-dependent plasticity models derived from potential functions[J].J.Rheol,2002,46(1):113-126.
[24]
Purzin A M,Houlsby G T.Rate-dependent hyperplasticity with internal functions[J].Journal of Engineering Mechanics,2003,129(3):252-263.
[25]
Simo S C,Pister K C.Remarks on rate constitutive equations for finite deformation problems:computational implications[J].Computer Methods in Applied Mechanics and Engineering,1984,46(2):201-215.
[26]
Simo S C.A unified approach to finite deformation elastoplastie analysis based on the uso of hyperelastic constitutive equations[J].Computer Methods in Applied Mechanics and Engineering,1985,49(2):221-245.
[27]
黄克智.损伤与断裂[A].塑性力学进展[C].北京:中国铁道出版社,1988,31-37.
[28]
Henry W,Haslach Jr.A non-equilibrium thermodynamic geometric structure for thermoviscoplasticity with maximum dissipation[J].International Journal of Plasticity,2002,18(1):127-153.
[29]
Lemaitre J,Chaboche J L.Mecanique des materiaux solids[M].Dunod,1996.中译本余天庆,吴玉树.固体材料力学.北京:国防工业出版社,1997:61-68.
[30]
Rahouadj R,et al.A thermodynamic approach with internal variables using Lagrange formalism.Part I-General framework[J].Mechanics Research Communications,2003,30(1):109-117.
Brunig M.Numerical analysis and elastic plastic deformation behavior of anisotropically damaged solids[J].International Journal of Plasticity.2002,18(7):1237-1270.
[35]
Brunig M.An anisotropic ductile damage model based on irreversible thermodynamics[J].International Journal of Plasticity.2003,19,1679-1713.
[36]
Lorrian M,Loland K E.Damage theory applied to concrete[A].F.H.Wittman.Fracture Mechanics of Concrete[C].1983.341-369.
[37]
Vladyslav P G.Non-linear one-dimensional continuum damage theory[J].International Journal of Engineering Science,1996,38(10):1139-1150.
[38]
Faria R,Oliver J,Cervera M.A strain-based plastic viscous-damage model for massive concrete structures[J].International Journal of Solids and Structures,1998,35(14):1534-1588.
[39]
李兆霞.损伤力学及其应用[M].北京:科学出版社,2002.93-114.
[40]
Valliappan S,Yazdchi M,Khalili N.Seismic analysis of arch dams-a continuum damage mechanics approach[J].international Journal for numerical Methods in Engineering,1999,45(12):1695-1724.
[41]
Lee J,Gregory L F.A Plastic Damage Concrete Model for Earthquake Analysis of Dams[J].Earthquake Engineering and Structural Dynamics,1998,27(9):937-956.
[42]
Cervera M,Oliver J,Manzoli O.A rate-dependent isotropie damage model for the seismic analysis of concrete dans[J].Earthquake Engineering and Structural Dynamics,1996,25(9):987-1010.
[43]
Carol I,Bazant Z P.Damage and plasticity in microplane theory[J].International Journal of Solids and Structures,1997,37(29):3807-3835.
[44]
唐春安,朱万成.混凝土细观损伤与数值模拟[M].科学出版社,2002,1-11.
[45]
Oh B H.Behavior of concrete under dynamic tensile loads[J].ACI Materials Journal,1987,84(1/2):8-13.
[46]
Cernocky E P.Evalution of a uniaxial nonlinear second-order differential overstress model for rate-dependence[J].Creep and Relaxation.International of Journal Solids and Structures,1983,19(9):753-766.
[47]
Lin G.A seismic Design of Arch Dams[A].Proc.Eleventh World Conference on Earthquake Engineering[C].Paper No.1,2020,Elsevier Science,1996.
[48]
林皋,陈健云.混凝土大坝的抗震安全评价[J].水利学报,2001,(2):8-15.
[49]
Comi C,Perego U.Variationally consistent generalized variable formulation of the elastoplastic rate problem[J].Mat.Acc.Lincei,1991,2(9):177-190.
[50]
Eibl J,Hurtienne B S.Strain-rate-sensitive constitutive law for concrete[J].Journal of Engineering Mechanics,1999,125(12):1411-1420.
Raguenean F,Gatuingt F.Inelastic behavior modelling of concrete in low and high strain rate dynamics[J].Computers and Structures,2003,81(13):1287-1299.
[54]
Woo C W,Asundi A,Deng W.On rate-dependent plasticity linear viscoelastic constitutive equations[J].International Journal of Solids and Strucrures,1995,32(12):1793-1803.
[55]
Alexan L.Constitutive modelling finite thermoviscoplasticity:a physical approach based on nonlinear rheological models[J].International Journal of Plasticity,2000,16(3):469-494.
[56]
Carosio A,Willam K,Etse G.On the consistency of viscoplastic formulations[J].International Journal of Solids and Structures,2000,37(48150):7349-7369.
[57]
Li Q B,et al.Dynamic damage constitutive model of concrete in uniaxial tension[J].Engineering Fracture Mechanics,1996,53(3):449-455.
