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Journal articles on the topic 'Constitutive Modelling'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

Cambou,, B., C. Di Prisco,, and K. Hutter,. "Constitutive Modelling of Geomaterials." Applied Mechanics Reviews 55, no. 3 (2002): B41. http://dx.doi.org/10.1115/1.1470665.

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2

Wilson, Helen J. "Instabilities and constitutive modelling." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1849 (2006): 3267–83. http://dx.doi.org/10.1098/rsta.2006.1892.

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The plastics industry today sees huge wastage through product defects caused by unstable flows during the manufacturing process. In addition, many production lines are throughput-limited by a flow speed threshold above which the process becomes unstable. Therefore, it is critically important to understand the mechanisms behind these instabilities. In order to investigate the flow of a molten plastic, the first step is a model of the liquid itself, a relation between its current stress and its flow history called a constitutive relation. These are derived in many ways and tested on several benc

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3

Holzapfel, Gerhard A., and Ray W. Ogden. "Constitutive modelling of arteries." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2118 (2010): 1551–97. http://dx.doi.org/10.1098/rspa.2010.0058.

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This review article is concerned with the mathematical modelling of the mechanical properties of the soft biological tissues that constitute the walls of arteries. Many important aspects of the mechanical behaviour of arterial tissue can be treated on the basis of elasticity theory, and the focus of the article is therefore on the constitutive modelling of the anisotropic and highly nonlinear elastic properties of the artery wall. The discussion focuses primarily on developments over the last decade based on the theory of deformation invariants, in particular invariants that in part capture st

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4

Murthy, Tejas G., and Arghya Das. "Constitutive Modelling of Geomaterials." Indian Geotechnical Journal 49, no. 4 (2019): 367–68. http://dx.doi.org/10.1007/s40098-019-00381-7.

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5

Laloui, Lyesse, Françoise Geiser, and Laurent Vulliet. "Constitutive modelling of unsaturated soils." Revue Française de Génie Civil 5, no. 6 (2001): 797–807. http://dx.doi.org/10.1080/12795119.2001.9692327.

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6

Gao, Zhiwei, and Yi Hong. "Constitutive modelling of gassy clay." E3S Web of Conferences 92 (2019): 15005. http://dx.doi.org/10.1051/e3sconf/20199215005.

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Fine grained sediments with undissolved gas bubbles are widely distributed in the seabed around the world. The gas bubbles are much larger than the clay particles and fit in the saturated clay matrix rather than the pore water. Generally, these bubbles tend to degrade the soil stiffness and strength. But when the difference between the gas and pore water pressure is sufficiently small, pore water in the saturated clay matrix can drain into the cavities, making the void ratio of the saturated matrix smaller, which makes the undrained shear strength of the gassy clay sample higher than that of a

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7

Miller, Karol. "Constitutive modelling of abdominal organs." Journal of Biomechanics 33, no. 3 (2000): 367–73. http://dx.doi.org/10.1016/s0021-9290(99)00196-7.

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8

Olsson, A. "Constitutive modelling of stainless steel." Journal of Constructional Steel Research 46, no. 1-3 (1998): 457. http://dx.doi.org/10.1016/s0143-974x(98)80084-9.

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9

M.P. "Geomaterials: Constitutive equations and modelling." Computers and Geotechnics 9, no. 3 (1990): 233–34. http://dx.doi.org/10.1016/0266-352x(90)90015-n.

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10

Yang, Ping, and Ying Tong. "Constitutive Modelling for Anisotropic Damage in Woven E-Glass Reinforcements." Open Materials Science Journal 11, no. 1 (2017): 9–21. http://dx.doi.org/10.2174/1874088x01711010009.

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It is easy for composite laminates to be damaged by relative lower velocity impact which could give rise to internal delamination that will strongly weaken the compressive strength of laminates. In order to predict the occurrence of matrix failure, the elastic-brittle behaviors of fiber-reinforced composites were modeled constitutively by an anisotropic damage model. The dynamic tensile testing was performed at a constant velocity of 2 mm/min until the sample broke to achieve the mechanical parameters of E-glass reinforcements. The elastic constitutive equation and the constitutive damage mode

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11

Yeow, Hoe-Chian, and Matthew R. Coop. "The constitutive modelling of London Clay." Proceedings of the Institution of Civil Engineers - Geotechnical Engineering 170, no. 1 (2017): 3–15. http://dx.doi.org/10.1680/jgeen.15.00146.

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12

Furukawa, T., and G. Yagawa. "An Interface for Implicit Constitutive Modelling." Key Engineering Materials 145-149 (October 1997): 421–26. http://dx.doi.org/10.4028/www.scientific.net/kem.145-149.421.

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13

Haeri, S. M., and A. Hamidi. "Constitutive modelling of cemented gravelly sands." Geomechanics and Geoengineering 4, no. 2 (2009): 123–39. http://dx.doi.org/10.1080/17486020902855696.

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14

Fallqvist, B., and M. Kroon. "Constitutive modelling of composite biopolymer networks." Journal of Theoretical Biology 395 (April 2016): 51–61. http://dx.doi.org/10.1016/j.jtbi.2016.01.034.

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15

Pawlikowski, Marek. "HYPERELASTIC CONSTITUTIVE MODELLING OF POLYURETHANE NANOCOMPOSITE." Journal of Biomechanics 45 (July 2012): S42. http://dx.doi.org/10.1016/s0021-9290(12)70043-x.

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16

Gens, Antonio, Marcelo Sánchez, and Daichao Sheng. "On constitutive modelling of unsaturated soils." Acta Geotechnica 1, no. 3 (2006): 137–47. http://dx.doi.org/10.1007/s11440-006-0013-9.

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17

Dunhill, S. T., G. D. Airey, A. C. Collop, and A. Scarpas. "Advanced constitutive modelling of bituminous materials." International Journal of Pavement Engineering 7, no. 3 (2006): 153–65. http://dx.doi.org/10.1080/10298430600630528.

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18

Xianghe, Peng, Gao Zhihui, and Fan Jinghong. "Constitutive modelling of nonproportional cyclic plasticity." Acta Mechanica Sinica 8, no. 3 (1992): 244–52. http://dx.doi.org/10.1007/bf02489248.

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19

Gori, Lapo, Samuel Silva Penna, and Roque Luiz da Silva Pitangueira. "A computational framework for constitutive modelling." Computers & Structures 187 (July 2017): 1–23. http://dx.doi.org/10.1016/j.compstruc.2017.01.012.

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20

Burbulla, F., and A. Matzenmiller. "Constitutive modelling of adhesively bonded joints." PAMM 11, no. 1 (2011): 361–62. http://dx.doi.org/10.1002/pamm.201110172.

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21

Oberender, P. W., and A. M. Puzrin. "Observation-guided constitutive modelling for creeping landslides." Géotechnique 66, no. 3 (2016): 232–47. http://dx.doi.org/10.1680/jgeot.15.lm.003.

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22

Estrin, Yuri. "Constitutive Modelling of Alloys Implementing Metallurgical Variables." Materials Science Forum 217-222 (May 1996): 1001–6. http://dx.doi.org/10.4028/www.scientific.net/msf.217-222.1001.

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23

Zheng, Pei, Xiong Tang, and Keming Zhang. "On constitutive modelling of linear poroviscoelastic solids." International Journal of Engineering Science 178 (August 2022): 103728. http://dx.doi.org/10.1016/j.ijengsci.2022.103728.

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24

Zdravkovic, L., and J. Carter. "Contributions toGéotechnique1948–2008: Constitutive and numerical modelling." Géotechnique 58, no. 5 (2008): 405–12. http://dx.doi.org/10.1680/geot.2008.58.5.405.

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25

Dean, E. T. R. "Particle mechanics approach to continuum constitutive modelling." Geotechnical Research 2, no. 1 (2015): 3–34. http://dx.doi.org/10.1680/gr.14.00018.

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26

Phaniraj, M. P., and A. K. Lahiri. "Constitutive modelling of carbon and alloy steels." Materials Science and Technology 20, no. 3 (2004): 335–38. http://dx.doi.org/10.1179/026708304225012125.

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27

Safdar, Muhammad, Syed Haseeb Shah, Hamza Ahmad Qureshi, Muhammad Waseem, and Khalid Mahmood. "CONSTITUTIVE MODELLING OF SANDS UNDER MONOTONIC LOADING." Journal of Mountain Area Research 8 (November 9, 2023): 90. http://dx.doi.org/10.53874/jmar.v8i0.180.

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This paper presents the drained and undrained behavior of soils using a modified version of the original cam clay constitutive model. The strain hardening behavior of soils is one of the major challenges in geotechnical engineering. The constitutive equations are numerically integrated over fixed time steps to apply effective stress to the derived elastoplastic soil model. Convergence of solution is controlled by a constitutive relation, namely the associated flow rule. This study provides step by step Python and octave programs to solve for q"-" p by solving the associated non-linear system.

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28

Cocks, Alan C. F. "Constitutive modelling of powder compaction and sintering." Progress in Materials Science 46, no. 3-4 (2001): 201–29. http://dx.doi.org/10.1016/s0079-6425(00)00017-7.

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29

Darve, F., E. Flavigny, and M. Meghachou. "Constitutive modelling and instabilities of soil behaviour." Computers and Geotechnics 17, no. 2 (1995): 203–24. http://dx.doi.org/10.1016/0266-352x(95)93869-k.

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30

Abdelsalam, Amir A., Sherif Araby, M. A. Hassan, and A. A. El-Moneim. "Constitutive modelling of elastomer/graphene platelet nanocomposites." IOP Conference Series: Materials Science and Engineering 244 (September 2017): 012016. http://dx.doi.org/10.1088/1757-899x/244/1/012016.

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31

de Bortoli, Daniel, Fauzan Adziman, Eduardo A. de Souza Neto, and Francisco M. Andrade Pires. "Constitutive modelling of mechanically induced martensitic transformations." Engineering Computations 35, no. 2 (2018): 772–99. http://dx.doi.org/10.1108/ec-03-2017-0087.

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Purpose The purpose of this work is to apply a recently proposed constitutive model for mechanically induced martensitic transformations to the prediction of transformation loci. Additionally, this study aims to elucidate if a stress-assisted criterion can account for transformations in the so-called strain-induced regime. Design/methodology/approach The model is derived by generalising the stress-based criterion of Patel and Cohen (1953), relying on lattice information obtained using the Phenomenological Theory of Martensite Crystallography. Transformation multipliers (cf. plastic multipliers

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32

Liao, Ching-Lung, Ta-Peng Chang, and Dong-Hwa Young. "Elasto-plastic constitutive modelling of granular assembly." International Journal of Solids and Structures 32, no. 8-9 (1995): 1121–33. http://dx.doi.org/10.1016/0020-7683(94)00178-y.

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33

Behzadfar, Ehsan, and Savvas G. Hatzikiriakos. "Viscoelastic properties and constitutive modelling of bitumen." Fuel 108 (June 2013): 391–99. http://dx.doi.org/10.1016/j.fuel.2012.12.035.

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34

Xu, L., F. Barlat, and D. C. Ahn. "Constitutive modelling of ferritic stainless steel sheets." International Journal of Material Forming 2, S1 (2009): 391–94. http://dx.doi.org/10.1007/s12289-009-0430-z.

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35

Rege, Ameya, and Mikhail Itskov. "Large strain constitutive modelling of cellulose aerogels." PAMM 16, no. 1 (2016): 385–86. http://dx.doi.org/10.1002/pamm.201610181.

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36

Jefferson, A. D. "Constitutive modelling of aggregate interlock in concrete." International Journal for Numerical and Analytical Methods in Geomechanics 26, no. 5 (2002): 515–35. http://dx.doi.org/10.1002/nag.210.

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37

Agiasofitou, Eleni, and Markus Lazar. "On the Constitutive Modelling of Piezoelectric Quasicrystals." Crystals 13, no. 12 (2023): 1652. http://dx.doi.org/10.3390/cryst13121652.

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Quasicrystals endowed with piezoelectric properties belong nowadays to novel piezoelectric materials. In this work, the basic framework of generalized piezoelectricity theory of quasicrystals is investigated by providing an improvement of the existing constitutive modelling. It is shown, for the first time, that the tensor of phason piezoelectric moduli is fully asymmetric without any major or minor symmetry, which has important consequences on the constitutive relations as well as on its classification with respect to the crystal systems and Laue classes. The exploration of the tensor of phas

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38

Faurholdt, T. G. "Inverse modelling of constitutive parameters for elastoplastic problems." Journal of Strain Analysis for Engineering Design 35, no. 6 (2000): 471–78. http://dx.doi.org/10.1243/0309324001514233.

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To obtain an improved identification of constitutive parameters to be used in finite element method simulations of elastoplastic deep-drawing processes an inverse method was applied using an explicit finite element code to simulate material tests. This problem was addressed by formulating the constitutive parameter identification as an optimization problem. The method was to minimize the objective function defined as the error between the result from the material test and the result from the finite element simulation. The optimization technique is based on the Levenberg-Marquardt method. The o

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39

Vu, Hung Q., and Delwyn G. Fredlund. "Challenges to modelling heave in expansive soils." Canadian Geotechnical Journal 43, no. 12 (2006): 1249–72. http://dx.doi.org/10.1139/t06-073.

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There are challenges associated with the numerical modelling of unsaturated expansive soils. The challenges are primarily related to the quantification of the void ratio constitutive surface, the characterization of the void ratio constitutive surface at low stresses and (or) suction, and the solution of coupled equations with several nonlinear unsaturated soil property functions. This study suggests that the void ratio constitutive surface of an expansive soil subject to a monotonic wetting path can be estimated from volume change indices obtained from conventional laboratory tests. The const

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40

Liu, Hai Tao, Neng Chen, and Ya Zhou Sun. "Experimental and Modelling of Constitutive Equation of Polycarbonate Material." Key Engineering Materials 667 (October 2015): 286–91. http://dx.doi.org/10.4028/www.scientific.net/kem.667.286.

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In this paper, according to the principle of building the constitutive model of polymer material, the one-dimensional structure of the ZWT material constitutive model is added to dashpot element in parallel, and in which strain rate and coefficient of viscosity is introduced and the nonlinear viscoelastic constitutive model of Polycarbonate material is achieved. Additionally, tensile test at low strain rate and Hopkinson test at high strain rate of polycarbonate material are carried out, and the change rule of yield strength of polycarbonate material is obtained both at high strain rate and lo

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41

Li, Xiao-mei, Lin Han, and Yun-fei Guan. "State-dependent Dilatancy Theory and Numerical Modelling of Rockfills." Journal of Civil Engineering and Construction 7, no. 2 (2018): 100. http://dx.doi.org/10.32732/jcec.2018.7.2.100.

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The dilatancy behavior of rockfills is relate to the stress level, the initial state and particle breakage. In this paper, based on the critical state theory, the state-dependent dilatancy theory of rockfills is established, and it is introduced into the state-dependent constitutive model of coarse materials, so the state-dependent constitutive model of rockfills is formulated. According to the large-scale triaxial testing results, using the Fortran program modelling the experimental results, then, comparing the test results and simulation results, only one set parameters of state-dependent co

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42

Holzapfel, Gerhard A., Kevin Linka, Selda Sherifova, and Christian J. Cyron. "Predictive constitutive modelling of arteries by deep learning." Journal of The Royal Society Interface 18, no. 182 (2021): 20210411. http://dx.doi.org/10.1098/rsif.2021.0411.

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The constitutive modelling of soft biological tissues has rapidly gained attention over the last 20 years. Current constitutive models can describe the mechanical properties of arterial tissue. Predicting these properties from microstructural information, however, remains an elusive goal. To address this challenge, we are introducing a novel hybrid modelling framework that combines advanced theoretical concepts with deep learning. It uses data from mechanical tests, histological analysis and images from second-harmonic generation. In this first proof of concept study, our hybrid modelling fram

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43

Subramanian, Harini, and Shantanu S. Mulay. "Constitutive modelling of plastically deformable self-healing materials." Mechanics of Materials 168 (May 2022): 104272. http://dx.doi.org/10.1016/j.mechmat.2022.104272.

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44

Perrin, Christophe. "The nail dermis: from microanatomy to constitutive modelling." Histopathology 66, no. 6 (2015): 864–72. http://dx.doi.org/10.1111/his.12608.

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45

Kohgo, Yuji, Masashi Nakano, and Tsuyoshi Miyazaki. "Theoretical Aspects of Constitutive Modelling For Unsaturated Soils." Soils and Foundations 33, no. 4 (1993): 49–63. http://dx.doi.org/10.3208/sandf1972.33.4_49.

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46

Wu, S. T., W. Feng, and X. Hu. "Constitutive modelling of flow 'behaviour of 20CrMnTiH steel." Ironmaking & Steelmaking 42, no. 7 (2014): 481–88. http://dx.doi.org/10.1179/1743281214y.0000000248.

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47

Liu, Lin, Ngiap Hiang Loh, and Bee Yen Tay. "Microstructure evolution and constitutive modelling of microsize structures." International Journal of Materials and Product Technology 45, no. 1/2/3/4 (2012): 64. http://dx.doi.org/10.1504/ijmpt.2012.051321.

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48

Tamagnini, Claudio, and Gioacchino Viggiani. "Constitutive modelling for rate-independent soils: a review." Revue Française de Génie Civil 6, no. 6 (2002): 933–74. http://dx.doi.org/10.1080/12795119.2002.9692726.

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49

Sluys, Bert. "Constitutive Modelling of Concrete and Nonlinear Computational Dynamics." Revue Française de Génie Civil 7, no. 7-8 (2003): 911–71. http://dx.doi.org/10.1080/12795119.2003.9692528.

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50

Klasztorny, M. "Constitutive Modelling of Resins in the Compliance Domain." Mechanics of Composite Materials 40, no. 4 (2004): 349–58. http://dx.doi.org/10.1023/b:mocm.0000039751.74145.63.

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