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THE constitutive relation OF DEBRIS FLOW

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International Journal of Sediment Research 1998年第3期 44-58页

作者： SHEN Shouchang 2

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ＴＨＥＣＯＮＳＴＩＴＵＴＩＶＥＲＥＬＡＴＩＯＮＯＦＤＥＢＲＩＳＦＬＯＷ１ＳＨＥＮＳｈｏｕｃｈａｎｇ２ＡＢＳＴＲＡＣＴＩｎｏｒｄｅｒｔｏｉｎｖｅｓｔｉｇａｔｅｔｈｅｓｔｒｅｓｃｏｎｓｔｉｔｕｔｉｖｅｒｅｌａｔｉｏｎｏｆｄｅｂｒｉｓｆｌｏｗ，ｔｈｅｅｘｐ...

关键词： Debris flow Two phase flow Rheology constitutive relation

STUDY ON THE DAMAGE constitutive relation OF ROCK UNDER UNIAXIAL STRESS CONDITION

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Journal of Coal Science & Engineering(China) 1999年第2期5卷 25-28页

作者：杨更社

The damage propagation constitutive relation of rock under uniaxial stress condition is studied by CT scanning in this paper. Damage variables of rock are calculated using CT scanning method and Lemaitre’s equivalent... 详细信息

关键词： rock damage constitutive relation CT scanning

Study on mathematical model of constitutive relation of ultra-long age plastic concrete under triaxial compression

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Study on mathematical model of constitutive relation of ultr...

Research on the proper selection of soil constitutive relation in modeling underground excavation

第十一届南方计算力学学术会议（SCCM-11）

作者： Liangming Hu Xin Jia Changhui Zhang Danying Gao College of Water Resources and Environment Zhengzhou University North China University of Water Resources and Electric Power

This study aimed to establish a mathematical model of constitutive relation of ultra-long age(540 d) plastic concrete under true triaxial compression. The triaxial compression test with fixed lateral pressure of 36 sets of ultra-long age(540 d) plastic concrete cubes with different mix proportions was carried out. Based on the measured stress-strain curve of plastic concrete under triaxial compression with fixed lateral pressure, the equation of the elastic modulus of the plastic concrete is constructed, and the quartic polynomial mathematical model of the stress-strain relationship is established. The mathematical model curves of constitutive relationship of the plastic concrete under triaxial compression are in good agreement with the experimental measured curves. The establishment of the mathematical model provides a basis for the formulation of the plastic concrete specification and the numerical analysis and calculation of mechanical properties under triaxial compression, which is of reference value for the engineering application of plastic concrete.

关键词： plastic concrete constitutive relation triaxial compression mix proportion mathematical model ultra-long age

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Research on the proper selection of soil constitutive relati...

Analysis of Bonding Properties of Corroded Reinforcement Concrete

第五届国际材料与热加工物理模拟及数值模拟学术会议

作者： Yin-tao ZHANG1 a Lian-jin TAO1 b Si-hai TANG1 c Bin SUN1 d 1 Beijing University of Technology Beijing China

Soil is a complex material whose properties are elastic, plastic and viscious. The selection of a proper constitutive relation is important in the study of stratum movement induced by underground excavation in modern cities. First, based on the Fast Lagrangian Analysis of Continua （FLAC） method, the elastic response stress （p, q） distribution induced by a circular tunnel is analyzed, and the surrounding soil is divided into four categories: p increase q increase, p increase q decrease, p decrease q increase, p decrease q decrease according to p-q stress path. The character of p-q distribution and the plastic zone induced by tunneling in clay are compared when the Mohr-Coulomb model （M-C）, the Drucker-Prager model （D-P） and the Modified Cam-Clay model （C-C） are adopted;the C-C model is considered to be suitable for simulating underground excavation problems. Second, factors such as stratum character, stress path and relative position between soil and excavation are thought to be important in the selection of a proper constitutive relation, accounting for the geological condition of Beijing and measuring techniques being used in geotechnical engineering. Fine grained soils such as clay and silt can be modeled by the C-C model. Coarse grained soil, for containing and not containing excavation, may be represented using the M-C model considering strain softening and the normal M-C model. Finally, with the aid of FLAC method and its internal language FISH, a scheme of estimating and controlling parameter input is suggested.

关键词： Underground excavation constitutive relation Stress path P-q distribution

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Journal of Architectural Research and Development 2024年第3期8卷 80-92页

作者： Liang Fang Yingzhuo Liu College of Water Resources&Civil Engineering Hunan Agricultural UniversityChangsha 410128Hunan ProvinceChina

In order to investigate the degradation of bonding properties between corroded steel bars and concrete,this study employs the half-beam method to conduct bond-slip tests between corroded steel bars and concrete after impressed-current accelerated corrosion of the steel bars in *** effects of steel corrosion rate,steel bar diameter,steel bar strength grade,and concrete strength grade on the bonding properties between concrete and corroded steel bars were *** influence of different corrosion rates on specimens’bonding strength and bond-slip curves was determined,and a constitutive relationship for bond-slip between corroded steel bars and concrete was *** results indicate that the ultimate bonding strength of corroded reinforced concrete specimens decreases with increasing corrosion ***,an increase in corrosive crack width leads to a linear decrease in bonding *** the decline in adhesive properties through rust expansion crack width in engineering applications is ***,a bond-slip constitutive relationship between corroded steel bars and concrete was established using relative bond stress and relative slip values,which aligned well with the experimental findings.

关键词： Corrosion Reinforced concrete Bonding property constitutive relation

A REVIEW ON RESEARCH ON DEVELOPMENT OF LIGAMENT constitutive relationS ON MACRO, MESO, AND MICRO LEVELS

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Acta Mechanica Solida Sinica 2013年第4期26卷 331-343页

作者： Chao Wan Zhixiu Hao Shizhu Wen State Key Laboratory of Tribology Tsinghua University

Ligaments are densely connective soft tissues capable of maintaining stability and function of knee *** an important factor,the constitutive relation of ligament would affect its biomechanics and further play an essential role in the research on ligament injury,healing and *** objective of this paper is to provide an overview of the current research on ligament constitutive relations on the macro,meso,and micro levels as well as the anatomy and histological structure of *** studies of biomechanical behaviors during ligament injury and healing periods have also been *** on the research on ligament constitutive relation in the past three decades,a discussion of some research perspectives is also presented,such as a validated accurate measuring method of in situ strain in ligament,a new constitutive relation involving the distribution of ultra-structural properties,and a rational estimation of ligament injury and healing process by the change of its ultra-structural or histological characteristics.

关键词： constitutive relation ligament ultra-structure macro meso micro

BIAXIAL LOADING OF NEO-CLASSICAL LIQUID CRYSTAL ELASTOMERS:constitutive relationS AND SOFT BEHAVIOR

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Acta Mechanica Solida Sinica 2012年第5期25卷 493-509页

作者： Hao Huang Zhi Zeng Yongzhong Huo Department of Mechanics and Engineering Science Fudan UniversityShanghai 200433China Woodruff School of Mechanical Engineering Georgia Institute and TechnologyAtlantaGA 30332USA

The thermo-order-mechanical behaviors of liquid crystal elastomers （LCEs） under biaxial loading are studied in this paper. Inverse method for nonlinear elastic problems is utilized by imposing biaxial stretching to thin rectangular samples. Neo-classical elastic energy is used together with the Landau-de Gennes nematic free energy. Under plane stress assumptions, the constitutive equations are derived. Due to the possible reorientations of the liquid crystal molecules induced by the imposed biaxial loading, the in-plane nonlinear stress-strain relations can have different expressions depending on which loading axis will have the largest effective principal strain. And the free energy is a multi-well non-convex potential function. As shown by some typical loading paths, the LCE samples will exhibit an anisotropic nonlinear elastic behavior, as long as the loading has not induced a reorientation of the liquid crystal molecules. When this did occur, jumps of stresses could take place for dead loadings due to the losing of stability.

关键词： soft materials constitutive relation nonlinear biaxial loading larger deformation,inverse methods liquid crystal elastomer

Modified Arrhenius-type constitutive Model and Artificial Neural Network-based Model for constitutive relationship of 316LN Stainless Steel during Hot Deformation

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Journal of Iron and Steel Research International 2015年第8期22卷 721-729页

作者： An HE Xi-tao WANG Gan-lin XIE Xiao-ya YANG Hai-long ZHANG State Key Laboratory for Advanced Metals and Materials University of Science and Technology Beijing Collaborative Innovation Center of Steel Technology University of Science and Technology Beijing

Hot compression experiments of 316LN stainless steel were carried out on Gleeble-3500 thermo-simulator in deforma- tion temperature range of 1 223-1 423 K and strain rate range of 0.001-1 s 1. The flow behavior was investigated to evaluate the workability and optimize the hot forging process of 316LN stainless steel pipes. constitutive relationship of 316LN stainless steel was comparatively studied by a modified Arrhenius-type analytical constitutive model considering the effect of strain and by an ar- tificial neural network model. The accuracy and effectiveness of two models were respectively quantified by the correlation coeffi- cient and absolute average relative error. The results show that both models have high reliabilities and could meet the requirements of engineering calculation. Compared with the analytical constitutive model, the artificial neural network model has a relatively higher predictability and is easier to work in cooperation with finite element analysis software.

关键词： constitutive relation artificial neural network stainless steel hot deformation

NEW constitutive relationSHIP OF INCOMPRESSIBLE HYPERELASTICITY

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Chinese Journal of Aeronautics 1998年第1期11卷 16-23页

作者：赵国兴王寿梅 Institute of Solid Mechanics Beijing Univ. Aero. and Astronaut. Beijing 100083 China

ＮＥＷＣＯＮＳＴＩＴＵＴＩＶＥＲＥＬＡＴＩＯＮＳＨＩＰＯＦＩＮＣＯＭＰＲＥＳＳＩＢＬＥＨＹＰＥＲＥＬＡＳＴＩＣＩＴＹＺｈａｏＧｕｏｘｉｎｇ（赵国兴），ＷａｎｇＳｈｏｕｍｅｉ（王寿梅）（ＩｎｓｔｉｔｕｔｅｏｆＳｏｌｉｄ... 详细信息

ＮＥＷＣＯＮＳＴＩＴＵＴＩＶＥＲＥＬＡＴＩＯＮＳＨＩＰＯＦＩＮＣＯＭＰＲＥＳＳＩＢＬＥＨＹＰＥＲＥＬＡＳＴＩＣＩＴＹＺｈａｏＧｕｏｘｉｎｇ（赵国兴），ＷａｎｇＳｈｏｕｍｅｉ（王寿梅）（ＩｎｓｔｉｔｕｔｅｏｆＳｏｌｉｄＭｅｃｈａｎｉｃｓ，Ｂｅｉｊｉｎｇ...

关键词： incompressible hyperelasticity strain energy constitutive relation rubber