CONSTITUTIVE THEORY OF PLASTICITY COUPLED WITH ORTHOTROPIC DAMAGE FOR GEOMATERIALS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (9): 1028-1034.

CONSTITUTIVE THEORY OF PLASTICITY COUPLED WITH ORTHOTROPIC DAMAGE FOR GEOMATERIALS

沈新普¹, 泽农·慕容子², 徐秉业³

1. Department of Architectural Engineering, Shenyang University of Technology, Shenyang 110023, P R China;
2. IFTR, Polish Academy of Sciences, Warsaw 00-049, Poland;
3. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P R China

收稿日期:2000-08-19 修回日期:2001-04-08 出版日期:2001-09-18 发布日期:2001-09-18
基金资助:
Foundation of the Ministry of State Education of China(1999363);This paper was partly puiblished at the Inter Conf on Microstru Mech Prop New Engng Mater,Sept,20-23,1999

CONSTITUTIVE THEORY OF PLASTICITY COUPLED WITH ORTHOTROPIC DAMAGE FOR GEOMATERIALS

SHEN Xin-pu¹, Zenon Mroz², XU Bing-ye³

1. Department of Architectural Engineering, Shenyang University of Technology, Shenyang 110023, P R China;
2. IFTR, Polish Academy of Sciences, Warsaw 00-049, Poland;
3. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P R China

Received:2000-08-19 Revised:2001-04-08 Online:2001-09-18 Published:2001-09-18
Supported by:
Foundation of the Ministry of State Education of China(1999363);This paper was partly puiblished at the Inter Conf on Microstru Mech Prop New Engng Mater,Sept,20-23,1999

摘要/Abstract

摘要： Constitutive theory of plasticity coupled with orthotropic damage for geomaterials was established in the framework of irreversible thermodynamics. Prime results include: 1) evolution laws are presented for coupled evolution of plasticity and orthotropic damage; 2) the orthotropic damage tensor is introduced into the Mohr-Coulomb criterion through homogenization. Both the degradation of shear strength and degradation of friction angle caused by damage are included in this model. The dilatancy is calculated with the so-called damage strain.

Abstract: Constitutive theory of plasticity coupled with orthotropic damage for geomaterials was established in the framework of irreversible thermodynamics. Prime results include: 1) evolution laws are presented for coupled evolution of plasticity and orthotropic damage; 2) the orthotropic damage tensor is introduced into the Mohr-Coulomb criterion through homogenization. Both the degradation of shear strength and degradation of friction angle caused by damage are included in this model. The dilatancy is calculated with the so-called damage strain.

中图分类号:

O342

沈新普;泽农·慕容子;徐秉业. CONSTITUTIVE THEORY OF PLASTICITY COUPLED WITH ORTHOTROPIC DAMAGE FOR GEOMATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(9): 1028-1034.

SHEN Xin-pu;Zenon Mroz;XU Bing-ye. CONSTITUTIVE THEORY OF PLASTICITY COUPLED WITH ORTHOTROPIC DAMAGE FOR GEOMATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(9): 1028-1034.

参考文献

[1] Lemaitre J. A Course on Damage Mechanics. 2nd ed[M]. Berlin: Springer, 1990.
[2] Hansen N R,Schreyer H L. A thermodynamically consistent framework for theories of elastoplasticity coupled with damage [J]. Int J Solids Structures, 1994, 31(2):359-389.
[3] Hayakawa K,Murakami S. Thermodynamic modeling of elastic-plastic damage and experimental validation of damage potential [J]. Int J Dama Mech, 1997, 6(2):333-363.
[4] Mariotti de Sciarra F. A new variational theory and a computational algorithm for coupled elastoplastic damage models [J]. Int J Solids Structures, 1997, 34(9):1761-1796.
[5] Basista M,Gross D. The sliding crack model of brittle deformation: an internal variable approach [J]. Int J Solids Structures, 1998, 35(3): 487-509.
[6] Dragon A,Halm D. A mesocrack damage and friction coupled model for brittle materials [A]. In: Voyiadjis G Z, Ju J W, Chaboche J L Eds. Damage Mechanics in Engineering Materials[C]. Amsterdam: Elsevier Science, 1998, 321-336.
[7] Meschke G, Lackner R,Mang H A. An anisotropic elastoplastic-damage model for plain concrete [J]. Int J Numer Mech Engng, 1998, 42(3): 703-727.
[8] Yazdani S,Karnawat S. A constitutive theory for brittle solids with application to concrete [J]. Int J Dama Mech, 1996, 5(1): 93-110.
[9] Vutukuri V S, Lama R D, Saluja S S. Handbook on Mechanical Properties of Rocks[M]. Vol.1. Berlin: Trans Tech Publisher, 1974.
[10] Duveau G, Shao J F. A modified single plane of weakness theory for the failure of highly stratified rocks [J]. Int J Rock Mech Min Sci, 1998, 35(6): 807-813.
[11] Hoek E,Brown E T. Practical estimation of rock mass strength [J]. Int J Rock Mech Min Sci, 1997, 34(8), 1165-1186.
[12] Muller D, Kratochvil J,Berveiller M. Nonlocal versus local elastoplastic behavior of heterogeneous materials [J]. Int J Plasticity, 1993, 9(3): 633-645.
[13] Rice J R. Inelastic constitutive relations for solids: an internal variable theory and its applicatin to metal plasticity [J]. J Mech Phys Solids,1971, 19(2): 433-455.
[14] Swoboda G, Shen X P, Rosas L. Damage model for jointed rock mass and its application to tunneling [J]. Computer and Geotechnics, 1998, 22(3/4): 183-203.

CONSTITUTIVE THEORY OF PLASTICITY COUPLED WITH ORTHOTROPIC DAMAGE FOR GEOMATERIALS

CONSTITUTIVE THEORY OF PLASTICITY COUPLED WITH ORTHOTROPIC DAMAGE FOR GEOMATERIALS

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 6

编辑推荐

Metrics

本文评价

[1]	魏德敏;杨桂通. NONLINEAR DYNAMIC STABILITY OF COMPOSITE LAMINATED PLATES[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(11): 1215-1219.
[2]	罗义银. FLUID BOUNDARY ELEMENT METHOD AND ORTHOGONAL TRANSFORM OF DOUBLE COMPLEX VARIABLES[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(1): 109-116.
[3]	沈新普;沈国晓. A FRACTURE-ENERGY-BASED ELASTO-SOFTENING-PLASTIC CONSTITUTIVE MODEL FOR JOINTS OF GEOMATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(9): 1097-1104.
[4]	尚新春. AN EXACT ANALYSIS FOR FREE VIBRATION OF A COMPOSITE SHELL STRUCTURE-HERMETIC CAPSULE[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(9): 1035-1045.
[5]	林启荣;刘正兴;王宗利. ANALYSIS OF BEAMS WITH PIEZOELECTRIC ACTUATORS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(9): 1074-1081.
[6]	周承倜;王列东. NONLINEAR THEORY OF DYNAMIC STABILITY FOR LAMINATED COMPOSITE CYLINDRICAL SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(1): 53-62.