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Journal articles on the topic 'Constitutive Model'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 June 2025

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1

Desai, Chandrakant S., and Mohammad R. Salami. "Constitutive Model for Rocks." Journal of Geotechnical Engineering 113, no. 5 (1987): 407–23. http://dx.doi.org/10.1061/(asce)0733-9410(1987)113:5(407).

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2

Khoo, H. A., and T. M. Hrudey. "Constitutive Model for Ice." Journal of Engineering Mechanics 118, no. 2 (1992): 259–79. http://dx.doi.org/10.1061/(asce)0733-9399(1992)118:2(259).

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3

Rus, Guillermo, Juan Melchor, Marie Muller, and Akhtar A. Khan. "Biomechanical Constitutive Model Identification." Mathematical Problems in Engineering 2019 (July 14, 2019): 1–2. http://dx.doi.org/10.1155/2019/3607015.

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4

Yang, Wei Wu, Hai Feng Liu, and Jian Guo Ning. "Dynamic Constitutive Model of Concrete." Advanced Materials Research 450-451 (January 2012): 379–82. http://dx.doi.org/10.4028/scientific5/amr.450-451.379.

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5

Yang, Wei Wu, Hai Feng Liu, and Jian Guo Ning. "Dynamic Constitutive Model of Concrete." Advanced Materials Research 450-451 (January 2012): 379–82. http://dx.doi.org/10.4028/www.scientific.net/amr.450-451.379.

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Based on the damage and Ottosen failure criterion, a dynamic constitutive model is proposed to investigate the mechanical behavior of concrete subjected to impact loading. The model predictions fit well with experimental results. So it can be used to simulate dynamic mechanical behavior of concrete

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6

Ma, Wen Xu, and Ying Guang Fang. "Gradient of Soil Constitutive Model." Advanced Materials Research 168-170 (December 2010): 1126–29. http://dx.doi.org/10.4028/www.scientific.net/amr.168-170.1126.

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For the soil is a very complex natural material, significant strain gradient effect exist in soil analysis. Based on the "gradient" phenomenon, we add the plastic strain gradient hardening item into the traditional Cambridge yield surface. By using the consistency conditions and associated flow rule, we get the explicit expression of plastic strain gradient stiffness matrix. And the finite element method of plastic strain gradient is also shown in this article. Plastic strain gradient is actually a phenomenological non-local model containing microstructure information of the material. It may overcome the difficulties in simulating the gradient phenomenon by traditional mechanical model.

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7

Yao, Yang-Ping, Haruyuki Yamamoto, and Nai-Dong Wang. "Constitutive Model Considering Sand Crushing." Soils and Foundations 48, no. 4 (2008): 603–8. http://dx.doi.org/10.3208/sandf.48.603.

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8

Ord, A., B. E. Hobbs, and K. Regenauer-Lieb. "A smeared seismicity constitutive model." Earth, Planets and Space 56, no. 12 (2004): 1121–33. http://dx.doi.org/10.1186/bf03353331.

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9

Mróz, Z., N. Boukpeti, and A. Drescher. "Constitutive Model for Static Liquefaction." International Journal of Geomechanics 3, no. 2 (2003): 133–44. http://dx.doi.org/10.1061/(asce)1532-3641(2003)3:2(133).

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10

Zhao, Fuzhang. "Constitutive Model for Rubberlike Materials." Advances in Pure Mathematics 14, no. 08 (2024): 633–49. http://dx.doi.org/10.4236/apm.2024.148035.

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11

Frantziskonis, G., C. S. Desai, and S. Somasundaram. "Constitutive Model for Nonassociative Behavior." Journal of Engineering Mechanics 112, no. 9 (1986): 932–46. http://dx.doi.org/10.1061/(asce)0733-9399(1986)112:9(932).

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12

Feenstra, Peter H., and René de Borst. "Constitutive Model for Reinforced Concrete." Journal of Engineering Mechanics 121, no. 5 (1995): 587–95. http://dx.doi.org/10.1061/(asce)0733-9399(1995)121:5(587).

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13

Frantziskonis, G., and C. S. Desai. "Constitutive model with strain softening." Mathematical and Computer Modelling 10, no. 10 (1988): 794. http://dx.doi.org/10.1016/0895-7177(88)90100-8.

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14

Sima, José Fernando, Pere Roca, and Climent Molins. "Cyclic constitutive model for concrete." Engineering Structures 30, no. 3 (2008): 695–706. http://dx.doi.org/10.1016/j.engstruct.2007.05.005.

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15

Parrinello, Francesco, Boris Failla, and Guido Borino. "Cohesive–frictional interface constitutive model." International Journal of Solids and Structures 46, no. 13 (2009): 2680–92. http://dx.doi.org/10.1016/j.ijsolstr.2009.02.016.

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16

Papadopoulos, Panagis G. "A triaxial network constitutive model." Computers & Structures 23, no. 4 (1986): 497–501. http://dx.doi.org/10.1016/0045-7949(86)90093-3.

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17

Frantziskonis, G., and C. S. Desai. "Constitutive model with strain softening." International Journal of Solids and Structures 23, no. 6 (1987): 733–50. http://dx.doi.org/10.1016/0020-7683(87)90076-x.

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18

Yao, YangPing, Wei Hou, and AnNan Zhou. "Constitutive model for overconsolidated clays." Science in China Series E: Technological Sciences 51, no. 2 (2008): 179–91. http://dx.doi.org/10.1007/s11431-008-0011-2.

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19

Deng, Jiang Hua, Chao Tang, Yan Ran Zhan, and Xing Ying Jiang. "Determination of 2A16 Constitutive Model." Advanced Materials Research 631-632 (January 2013): 412–16. http://dx.doi.org/10.4028/www.scientific.net/amr.631-632.412.

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The stress-strain curves of 2A16 under different strain rate range (10-3s-1-103s-1) and different temperature range (293K-673K) were obtained through the quasi-static compression test and SHPB test by experimental method. The parameters were determined based on Johnson-Cook model and the strain rate hardening term in them was modified. The results show that 2A16 is a kind of strain rate and sensitive temperature materials. The flow stress increases with strain rate increasing, while that decreases with temperature increasing. The deviation is large between the unamended Johnson-Cook constitutive model and test data, while the modified constitutive model is a good agreement with experimental results. And the study is a preparation for the numerical simulation of 2A16 rivet electromagnetic riveting.

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20

Drozdov, A. D. "A constitutive model in thermoviscoelasticity." Mechanics Research Communications 23, no. 5 (1996): 543–48. http://dx.doi.org/10.1016/0093-6413(96)00055-9.

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21

Xiao, Robert Y., and Samson Ezekiel. "Constitutive Model for High Strength Concrete (HSC) at Elevated Temperatures." International Journal of Engineering and Technology 5, no. 5 (2013): 550–55. http://dx.doi.org/10.7763/ijet.2013.v5.616.

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22

Zhang, Qi, Guoying Meng, Haixu Geng, Shuangfu Suo, and Jinsen Zhang. "Finite element analysis of silicone rubber based on Yeoh constitutive model and Ogden constitutive model." IOP Conference Series: Earth and Environmental Science 714, no. 3 (2021): 032078. http://dx.doi.org/10.1088/1755-1315/714/3/032078.

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23

He, Jian Ping, and Wei Zhong Chen. "A Simplified Concrete Damage Constitutive Model." Advanced Materials Research 671-674 (March 2013): 1663–71. http://dx.doi.org/10.4028/www.scientific.net/amr.671-674.1663.

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In view of the limitation of seismic damage model for concrete structures with recent methods, based on Drucker-Prager constitutive model, with the concept of damage surface, Mazars concrete damage equation obtained by uniaxial test was extended to the triaxial state. Material stiffness damage degradation impact on the yield process of concrete yield surface was considered. Given Druker-Prager constitutive model adapted to the low friction angle soft clay type, the yield parameters threshold of yield surface is low that does not meet the concrete reality, draw double-shear strength theory, the strain threshold of double shear strain yield equation has been adopted, Modified damage threshold of uniaxial test strain damage equation. This paper developed a simplified concrete damage constitutive model in FLAC3D environment. The model is simple and easy to practical engineering applications, and the model has a certain accuracy. Try to explore a new constitutive model of concrete.

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24

Yan, Hong, Jian Jin Wang, and Fa Yun Zhang. "A Constitutive Model for Thixotropic Plastic Forming of Composites." Advanced Materials Research 154-155 (October 2010): 690–93. http://dx.doi.org/10.4028/www.scientific.net/amr.154-155.690.

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A new constitutive model for semi-solid composites forming was derived with analyzing constitutive relationships of semi-solid metal and composites forming. Parameters in the constitutive model were determined by the multiple nonlinear regression method. A constitutive relationship of semi-solid SiCp/AZ61 composites thixotropic plastic forming was proposed. The calculated results were good agreement with the experimental ones. The proposed constitutive model has the higher forecast precision and practical significance. The construction of constitutive model provides references for the thixotropic forming theory, simulation and technology.

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25

Chen, Yifan, Hang Lin, Shijie Xie, et al. "Fracture Closure Empirical Model and Theoretical Damage Model of Rock under Compression." Materials 16, no. 2 (2023): 589. http://dx.doi.org/10.3390/ma16020589.

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The rock or rock mass in engineering often contains joints, fractures, voids, and other defects, which are the root cause of local or overall failure. In response to most of the current constitutive models that fail to simulate the nonlinear fracture compaction deformation in the whole process of rock failure, especially brittle rocks, a piecewise constitutive model was proposed to represent the global constitutive relation of rocks in this study, which was composed of the fracture compaction empirical model and the damage statistical constitutive model. The fracture empirical compaction model was determined by fitting the expressions of fracture closure curves of various rocks, while the rock damage evolution equation was derived underpinned by the fracture growth. According to the effective stress concept and strain equivalence hypothesis, the rock damage constitutive model was deduced. The model parameters of the fracture compaction empirical model and damage statistical constitutive model were all calculated by the geometrical characteristics of the global axial stress–strain curve to guarantee that the models are continuous and smooth at the curve intersection, which is also simple and ready to program. Finally, the uniaxial compression test data and the triaxial compression test data of different rocks in previous studies were employed to validate the models, and the determination coefficient was used to measure the accuracy. The results showed great consistency between the model curves and test data, especially in the pre-peak stage.

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26

Kavvadas, M., and A. Amorosi. "A constitutive model for structured soils." Géotechnique 50, no. 3 (2000): 263–73. http://dx.doi.org/10.1680/geot.2000.50.3.263.

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27

Baudet, B., and S. Stallebrass. "A constitutive model for structured clays." Géotechnique 54, no. 4 (2004): 269–78. http://dx.doi.org/10.1680/geot.2004.54.4.269.

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28

Liu, Jianjun, Kelu Wang, Xin Li, and Jing Cheng. "Constitutive model of Ti-25Nb alloy." IOP Conference Series: Materials Science and Engineering 493 (March 22, 2019): 012154. http://dx.doi.org/10.1088/1757-899x/493/1/012154.

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29

Jin, Jishan, and N. D. Cristescu. "A Constitutive Model for Powder Materials." Journal of Engineering Materials and Technology 120, no. 2 (1998): 97–104. http://dx.doi.org/10.1115/1.2807010.

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A new elastic/viscoplastic constitutive model for compaction of power materials has been proposed. The model can be determined from a few conventional compression triaxial tests. In this model the irreversible volumetric strain is taken as work-hardening parameter. The model prediction matches reasonably well the experimental data.

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30

Brocca, Michele, and Zdeneˇk P. Bazˇant. "Microplane Constitutive Model and Metal Plasticity." Applied Mechanics Reviews 53, no. 10 (2000): 265–81. http://dx.doi.org/10.1115/1.3097329.

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The microplane model is a versatile constitutive model in which the stress-strain relations are defined in terms of vectors rather than tensors on planes of all possible orientations, called the microplanes, representative of the microstructure of the material. The microplane model with kinematic constraint has been successfully employed in the modeling of concrete, soils, ice, rocks, fiber composites and other quasibrittle materials. The microplane model provides a powerful and efficient numerical tool for the development and implementation of constitutive models for any kind of material. The paper presents a review of the background from which the microplane model stems, highlighting differences and similarities with other approaches. The basic structure of the microplane model is then presented, together with its extension to finite strain deformation. Three microplane models for metal plasticity are introduced and discussed. They are compared mutually and with the classical J2-flow theory for incremental plasticity by means of two examples. The first is the material response to a nonproportional loading path given by uniaxial compression into the plastic region followed by shear (typical of buckling and bifurcation problems). This example is considered in order to show the capability of the microplane model to represent a vertex on the yield surface. The second example is the ‘tube-squash’ test of a highly ductile steel tube: a finite element computation is run using two microplane models and the J2-flow theory. One of the microplane models appears to predict more accurately the final shape of the deformed tube, showing an improvement compared to the J2-flow theory even when the material is not subjected to abrupt changes in the loading path direction. This review article includes 114 references.

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31

Shin, Ho-Sung, Ji-Min Kim, Jang-Guen Lee, and Seung-Rae Lee. "Mechanical Constitutive Model for Frozen Soil." Journal of the Korean Geotechnical Society 28, no. 5 (2012): 85–94. http://dx.doi.org/10.7843/kgs.2012.28.5.85.

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32

Suter, Milan, and Gurmail S. Benipal. "Aging Maxwell Constitutive Model for Concrete." Defence Science Journal 58, no. 2 (2008): 220–26. http://dx.doi.org/10.14429/dsj.58.1641.

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33

Xu, Chongbang, Xiaojing Gao, Kaishun Zhang, Zhiguo Liu, and Fan Zhao. "Constitutive Model of Swelling Gypsum Rock." Advances in Civil Engineering 2020 (October 8, 2020): 1–9. http://dx.doi.org/10.1155/2020/8878005.

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Swelling of soft rock, such as gypsum rock, is one of the major threats in tunnel engineering, causing structure damages such as floor heave and inward movement of sidewalls during construction and operation. It is of practical significance to study the swelling mechanical behavior of such rocks by tests. Swelling strain tests and swelling stress tests were performed by swelling test apparatus to study the variation of swelling strain with time and the swelling stress-strain relationship for gypsum rock samples, respectively. Three stages of the swelling strain on the time-strain curve of gypsum rock samples were noticed, which are defined as rapid swelling stage, slow swelling stage, and steady stage. And it was further found that the swelling strain caused in the slow swelling stage is of 76% of the total swelling strain. A constitutive model is proposed to describe the stress-strain relationship in swelling considering the swelling deformation and swelling pressure. The proposed model was verified using test data, which shows good agreements in describing the relationship between swelling strain and swelling stress, also in the conditions of maximum swelling strain and maximum swelling stress under lateral restraint situations.

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34

Jain, S. K., and A. Nanda. "A Constitutive Model for Creep Rupture." Mechanics of Advanced Materials and Structures 17, no. 7 (2010): 459–66. http://dx.doi.org/10.1080/15376494.2010.507667.

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35

Adachi, T., F. Oka, and H. B. Poorooshasb. "A Constitutive Model for Frozen Sand." Journal of Energy Resources Technology 112, no. 3 (1990): 208–12. http://dx.doi.org/10.1115/1.2905759.

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An elasto-viscoplastic constitutive model for frozen sand is proposed based on the elasto-viscoplasticity theory incorporating the new time measure. The proposed model can describe a number of features of the mechanical behavior of the medium, such as rate sensitivity and strain softening under the triaxial compression test loading conditions. The effects of temperature, ambient pressure and the concentration of soil particles are also discussed.

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36

Feuerbacher, M., P. Schall, Y. Estrin, and Y. Bréchet. "A constitutive model for quasicrystal plasticity." Philosophical Magazine Letters 81, no. 7 (2001): 473–82. http://dx.doi.org/10.1080/09500830110049983.

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37

Yong, Li, Wu Jing'an, and Du Xingwen. "Viscoelastic Constitutive Model of Unvulcanized Rubber." Polymers and Polymer Composites 13, no. 7 (2005): 727–36. http://dx.doi.org/10.1177/096739110501300709.

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Based on rheological test results, a new viscoelastic constitutive equation for unvulcanized rubber has been set up, with mathematical justification to describe its mechanical properties in relation to the yield stress and shear-thinning effect. In this model, every term or coefficient has an explicit physical meaning. The proposed model indicates that the yield stress is one of the main causes for the shear-thinning effect and reveals why some materials possess double-Newtonian regions with the shear viscosity in the first region higher than that in the second region. The yield stress makes the flow index of the power law fluid model vary widely, so that it needs to be eliminated from the power law fluid model. The model can also distinguish the true shear viscosity from the apparent shear viscosity effectively. The parameters of the equation are determined by the step fitting method, which is the precondition for quantitative analysis. However, the equation is a one-dimensional model, so further research is needed.

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38

Krogsbøll, Anette. "Constitutive model with time-dependent deformations." Engineering Geology 49, no. 3-4 (1998): 285–92. http://dx.doi.org/10.1016/s0013-7952(97)00060-4.

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39

Wong, T. T., N. R. Morgenstern, and D. C. Sego. "A constitutive model for broken ice." Cold Regions Science and Technology 17, no. 3 (1990): 241–52. http://dx.doi.org/10.1016/s0165-232x(05)80004-7.

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40

Shekarbeigi, Mehdi, and Hasan Sharafi. "Constitutive Model for Concrete: An Overview." Current World Environment 10, Special-Issue1 (2015): 782–88. http://dx.doi.org/10.12944/cwe.10.special-issue1.94.

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In the last three decades, the constitutive modelling of concrete evolved considerably. This paper describes various developments in this field based on different approaches such anelasticity, plasticity, continuum damage mechanics, plastic fracturing, endochronic theory, microplane models, etc. In this article the material is assumed to undergo small deformations. Only time independent constitutive models and the issues related to their implementation are discussed

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41

Huber, J. "A constitutive model for ferroelectric polycrystals." Journal of the Mechanics and Physics of Solids 47, no. 8 (1999): 1663–97. http://dx.doi.org/10.1016/s0022-5096(98)00122-7.

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42

Popov, V. L., and T. Geike. "A new constitutive model of rubber." Tribology International 40, no. 6 (2007): 1012–16. http://dx.doi.org/10.1016/j.triboint.2006.02.018.

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43

Yoshida, Fusahito. "A constitutive model of cyclic plasticity." International Journal of Plasticity 16, no. 3-4 (2000): 359–80. http://dx.doi.org/10.1016/s0749-6419(99)00058-3.

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44

Slavik, D., and T. S. Cook. "A unified constitutive model for superalloys." International Journal of Plasticity 6, no. 6 (1990): 651–64. http://dx.doi.org/10.1016/0749-6419(90)90037-f.

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45

Yao, YangPing, Lin Liu, and Ting Luo. "A constitutive model for granular soils." Science China Technological Sciences 61, no. 10 (2018): 1546–55. http://dx.doi.org/10.1007/s11431-017-9205-8.

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46

Zalewski, Robert. "Constitutive model for special granular structures." International Journal of Non-Linear Mechanics 45, no. 3 (2010): 279–85. http://dx.doi.org/10.1016/j.ijnonlinmec.2009.11.011.

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47

Anand, L. "A constitutive model for interface friction." Computational Mechanics 12, no. 4 (1993): 197–213. http://dx.doi.org/10.1007/bf00369962.

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48

Szyszkowski, W., S. Dost, and P. G. Glockner. "A nonlinear constitutive model for ice." International Journal of Solids and Structures 21, no. 3 (1985): 307–21. http://dx.doi.org/10.1016/0020-7683(85)90026-5.

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49

Pietruszczak, S., J. Jiang, and F. A. Mirza. "An elastoplastic constitutive model for concrete." International Journal of Solids and Structures 24, no. 7 (1988): 705–22. http://dx.doi.org/10.1016/0020-7683(88)90018-2.

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50

Drozdov, Aleksey D. "A constitutive model in finite viscoelasticity." Rheologica Acta 34, no. 6 (1995): 562–77. http://dx.doi.org/10.1007/bf00712316.

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