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Effect of loading rate and time delay on the tangent modulus method(TMM)in coal and coal measured rocks
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作者 Zulfiqar Ali Murat Karakus +1 位作者 Giang D.Nguyen Khalid Amrouch 《International Journal of Coal Science & Technology》 EI CAS CSCD 2022年第6期51-63,共13页
Non-destructive techniques of in-situ stress measurement from oriented cored rocks have great potential to be developed as a cost cost-effective and reliable alternative to the conventional overcoring and hydraulic fr... Non-destructive techniques of in-situ stress measurement from oriented cored rocks have great potential to be developed as a cost cost-effective and reliable alternative to the conventional overcoring and hydraulic fracturing methods.The tangent modulus method(TMM)is one such technique that can be applied to oriented cored rocks to measure in-situ stresses.Like the deformation rate analysis(DRA),the rock specimen is subjected to two cycles of uniaxial compression and the stress-tangent modulus curve for the two cycles is obtained from the stress-strain curve.A bending point in the tangent modulus curve of the first cycle is observed,separating it from the tangent modulus curve of the second cycle.The point of separation between the two curves is assumed to be the previously applied maximum stress.A number of experiments were conducted on coal and coal measured rocks(sandstone and limestone)to understand the effect of loading conditions and the time delay.The specimens were preloaded,and cyclic compressions were applied under three different modes of loading,four different strain rates,and time delays of up to one week.The bending point in the stress-tangent modulus curves occurred approximately at the applied pre-stress levels under all three loading modes,and no effect of loading rate was observed on the bending points in TMM.However,a clear effect of time delay was observed on the TMM,contradicting the DRA results.This could be due to the sensitivity of TMM and the range of its applicability,all of which need further investigation for the in-situ stress measurement. 展开更多
关键词 tangent modulus method TMM Deformation rate analysis DRA Time delay Strain rate
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Algorithmic tangent modulus at finite strains based on multiplicative decomposition
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作者 李朝君 冯吉利 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第3期345-358,共14页
The algorithmic tangent modulus at finite strains in current configuration plays an important role in the nonlinear finite element method. In this work, the exact tensorial forms of the algorithmic tangent modulus at ... The algorithmic tangent modulus at finite strains in current configuration plays an important role in the nonlinear finite element method. In this work, the exact tensorial forms of the algorithmic tangent modulus at finite strains are derived in the principal space and their corresponding matrix expressions are also presented. The algorithmic tangent modulus consists of two terms. The first term depends on a specific yield surface, while the second term is independent of the specific yield surface. The elastoplastic matrix in the principal space associated with the specific yield surface is derived by the logarithmic strains in terms of the local multiplicative decomposition. The Drucker-Prager yield function of elastoplastic material is used as a numerical example to verify the present algorithmic tangent modulus at finite strains. 展开更多
关键词 algorithmic tangent modulus matrix expression finite strain multiplicative decomposition
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Influence of volume compression on the unloading deformation behavior of red sandstone under damage-controlled cyclic triaxial loading 被引量:2
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作者 Huaizhong Liu Jianliang Pei +3 位作者 Jianfeng Liu Mingli Xiao Li Zhuo Hongqiang Xie 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2023年第5期1200-1212,共13页
A reasonable evaluation of unloading deformation characteristics is of great significance for the effective analysis of deformation and stability of surrounding rocks after underground excavation.In this study,the dam... A reasonable evaluation of unloading deformation characteristics is of great significance for the effective analysis of deformation and stability of surrounding rocks after underground excavation.In this study,the damage-controlled cyclic triaxial loading tests were conducted to investigate the pore compaction mechanism and its influences on the unloading deformation behavior of red sandstone,including Young’s modulus,Poisson’s ratio,volumetric strain,and irreversible strain.The experimental results show that the increases of volumetric and irreversible strains of rocks can be attributed to the compaction mechanism,which almost dominates the entire pre-peak deformation process.The unloading deformation consists of the reversible linear and nonlinear strains,and the irreversible strain under the influence of the porous grain structure.The pre-peak Young’s modulus tends to increase and then decrease due to the influence of the unloading irreversible strain.However,it hardly changes with the increasing volumetric strain compaction under the influence of reversible nonlinear strain.Instead,the initial unloading tangent modulus is highly related to the volumetric strain,and clearly reflects the compaction state of red sandstone.Furthermore,both the reversible nonlinear and irreversible unloading deformations are independent of confining pressure.This study is beneficial for the theoretical modeling and prediction of cyclic unloading deformation behavior of red sandstone. 展开更多
关键词 Cyclic loading tests Compaction mechanism Volumetric strain Unloading tangent modulus Red sandstone
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Acoustic emission activity in directly tensile test on marble specimens and its tensile damage constitutive model 被引量:12
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作者 Ruifu Yuan Bowen Shi 《International Journal of Coal Science & Technology》 EI 2018年第3期295-304,共10页
For understanding acoustic emission (AE) activity and accumulation of micro-damage inside rock under pure tensile state, the AE signals has been monitored on the test of directly tension on two kinds of marble speci... For understanding acoustic emission (AE) activity and accumulation of micro-damage inside rock under pure tensile state, the AE signals has been monitored on the test of directly tension on two kinds of marble specimens. A tensile constitutive model was proposed with the damage factor calculated by AE energy rate. The tensile strength of marble was discrete obviously and was sensitive to the inside microdefects and grain composition. With increasing of loading, the tensile stress-strain curve obviously showed nonlinear with the tensile tangent modulus decreasing. In repeated loading cycle, the tensile elastic modulus was less than that in the previous loading cycle because of the generation of micro damage during the prior loading. It means the linear weakening occurring in the specimens. The AE activity was corresponding with occurrence of nonlinear deformation. In the initial loading stage which only elastic deformation happened on the specimens, there were few AE events occurred; while when the nonlinear deformation happened with increasing of loading, lots of AE events were generated. The quantity and energy of AE events were proportionally related to the variation of tensile tangent modulus. The Kaiser effect of AE activity could be clearly observed in tensile cycle loading. Based on the theory of damage mechanics, the damage factor was defined by AE energy rate and the tensile damage constitutive model was proposed which only needed two property constants. The theoretical stress-strain curve was well fitted with the curve plotted with tested datum and the two property constants were easily gotten by the laboratory testing. 展开更多
关键词 Marble specimens Direct tensile test Acoustic emission Tensile tangent modulus Damage constitutive model
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Numerical Implementation of a Unified Viscoplastic Model for Considering Solder Joint Response under Board-Level Temperature Cycling 被引量:1
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作者 Hung-Chun Yang Tz-Cheng Chiu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第8期639-668,共30页
An implicit integration scheme was developed for simulating the viscoplastic constitutive behavior ofSn3.0Ag0.5Cu solder and programmed into a user material subroutine of the finite element software ANSYS. Thenumerica... An implicit integration scheme was developed for simulating the viscoplastic constitutive behavior ofSn3.0Ag0.5Cu solder and programmed into a user material subroutine of the finite element software ANSYS. Thenumerical procedure first solves the essential state variables by using a three-level iterative procedure, and updatesthe remaining stress and state variables accordingly. The numerical implementation was applied to consider theresponses of solder joints in an electronic assembly under temperature cycling condition. The viscoplastic strainenergy density accumulation over one temperature cycle was identified as a feasible parameter for evaluating thethermomechanical reliability of the solder joints. 展开更多
关键词 Pb-free HYSTERESIS RATCHETING FATIGUE tangent modulus
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Effect of a 10-Week Stretching Program of the Triceps Surae Muscle Architecture and Tendon Mechanical Properties
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作者 Carolina C.Peixinho Gabriel A.Silva +2 位作者 Maria Clara A.Brandão Luciano L.Menegaldo Liliam F.de Oliveira 《Journal of Science in Sport and Exercise》 2021年第2期107-114,共8页
Purpose The present study aimed to test if a long-term passive stretching training causes adaptations of the medial gastroc-nemius architecture and the Achilles tendon (AT) tangent modulus.Methods A total of 20 males ... Purpose The present study aimed to test if a long-term passive stretching training causes adaptations of the medial gastroc-nemius architecture and the Achilles tendon (AT) tangent modulus.Methods A total of 20 males took part in the study.The stretching group (n =12),performed stretching exercises for the plantar flexors for 10 weeks,4-5 times a week,which comprised two static positions sustained twice each during 30 s.Results For the stretching group,maximum dorsiflexion angle,peak passive torque,and muscle-tendon unit maximum length significantly increased after training.No other differences were found related to muscle architecture and AT tangent modulus.Conclusion Joint amplitude gain after a long-term stretching of the triceps surae was not accompanied by structural or mechanical changes of the medial gastrocnemius and AT tendon,and seems to reflect an increasing stretch tolerance level. 展开更多
关键词 STRETCHING Muscle architecture Achilles tendon Triceps surae tangent modulus
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