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Journal articles on the topic 'Material Constitutive Model'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

HUANG, ZHUPING, YONGQIANG CHEN, and SHU-LIN BAI. "AN ELASTOPLASTIC CONSTITUTIVE MODEL FOR POROUS MATERIALS." International Journal of Applied Mechanics 05, no. 03 (2013): 1350035. http://dx.doi.org/10.1142/s175882511350035x.

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A micromechanics-based elastoplastic constitutive model for porous materials is proposed. With an assumption of modified three-dimensional Ramberg–Osgood equation for the compressible matrix material, the variational principle based on a linear comparison composite is applied to study the effective mechanical properties of the porous materials. Analytical expressions of elastoplastic constitutive relations are derived by means of micromechanics principles and homogenization procedures. It is demonstrated that the derived expressions do not involve any additional material constants to be fitted

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2

Varadarajan, A., K. G. Sharma, S. M. Abbas, and A. K. Dhawan. "Constitutive Model for Rockfill Materials and Determination of Material Constants." International Journal of Geomechanics 6, no. 4 (2006): 226–37. http://dx.doi.org/10.1061/(asce)1532-3641(2006)6:4(226).

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3

Zhao, Fei, Bo Zhou, Xiuxing Zhu, and Haijing Wang. "Constitutive model of piezoelectric/shape memory polymer composite." Journal of Physics: Conference Series 2713, no. 1 (2024): 012037. http://dx.doi.org/10.1088/1742-6596/2713/1/012037.

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Abstract The PZT/SMP composite material, combining piezoelectricity and shape memory effects, has emerged as a novel multifunctional smart material and has gained significant attention. The establishment of an effective constitutive model, describing the mechanical properties of the composites, holds tremendous importance in both theoretical and engineering realms. This study aims to develop a model to investigate the mechanical properties of PZT/SMP composites. By incorporating the deformation mechanisms of the PZT/SMP composites and the theories of viscoelasticity, the constitutive equation

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4

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

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Zimniak, Zbigniew. "A Constitutive Material Model Applied to Microforming Processes." Materials 13, no. 22 (2020): 5143. http://dx.doi.org/10.3390/ma13225143.

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The plastic treatment of products reduced to sizes corresponding to the microscale poses difficulties, due to the occurrence of the so-called size effect, which is responsible for the different behavior of the material during the realization of microforming. In this study, a constitutive equation was elaborated taking into account two types of size effects, with the use of a surface model as well as a composite material model. The influence of the size effect referring to both the material grain size and the geometric scaling of the sample size on the material’s flow stresses was considered. T

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6

Ingman, D., J. Suzdalnitsky, and M. Zeifman. "Constitutive Dynamic-Order Model for Nonlinear Contact Phenomena." Journal of Applied Mechanics 67, no. 2 (1999): 383–90. http://dx.doi.org/10.1115/1.1304916.

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A dynamic integro-differential operator of variable order is suggested for a more adequate description of processes, which involve state dependent measures of elastic and inelastic material features. For any negative constant order this operator coincides with the well-known operator of fractional integration. The suggested operator is especially effective in cases with strong dependence of the behavior of the material on its present state—i.e., with pronounced nonlinearity. Its efficiency is demonstrated for cases of viscoelastic and elastoplastic spherical indentation into such materials (al

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7

Chen, Guang, Changcai Zhao, Haiwei Shi, et al. "Research on the 2A11 Aluminum Alloy Sheet Cyclic Tension–Compression Test and Its Application in a Mixed Hardening Model." Metals 13, no. 2 (2023): 229. http://dx.doi.org/10.3390/met13020229.

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The increasing application of aluminum alloy, in combination with the growth in the complexity of components, provides new challenges for the numerical modeling of sheet materials. The material elastic–plasticity constitutive model is the most important factor affecting the accuracy of finite element simulation. The mixed hardening constitutive model can more accurately represent the real hardening characteristics of the material plastic deformation process, and the accuracy of the material property-related parameters in the constitutive model directly affects the accuracy of finite element si

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8

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 o

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9

Córdova, René, Alex Elías-Zúiga, Luis Elizalde, et al. "Polymeric Materials Reinforced with Multiwall Carbon Nanotubes: A Constitutive Material Model." Materials 6, no. 7 (2013): 2873–91. http://dx.doi.org/10.3390/ma6072873.

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10

Guerra Silva, Rafael, Uwe Teicher, Andreas Nestler, and Alexander Brosius. "Influence of Material and Constitutive Models on Friction Analysis for Modelling in Machining Cellular Metal Structures." Applied Mechanics and Materials 727-728 (January 2015): 292–98. http://dx.doi.org/10.4028/www.scientific.net/amm.727-728.292.

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The selection of an adequate friction model is an important aspect inthe finite element modeling of machining. Previously, different friction modelshave been compared, but the influence of the constitutive model or theworkpiece material have not been considered. This article focuses on theinfluence of the material and the constitutive model on the evaluation of thefriction model in machining. Numerical experiments are performed on threedifferent materials using different constitutive models. For every combinationof material and constitutive model, several simulations using different Coulombcoe

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11

Luccioni, Bibiana M. "Constitutive Model for Fiber-Reinforced Composite Laminates." Journal of Applied Mechanics 73, no. 6 (2006): 901–10. http://dx.doi.org/10.1115/1.2200654.

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Nowadays, conventional materials have been progressively replaced by composite materials in a wide variety of applications. Particularly, fiber reinforced composite laminates are widely used. The appropriate design of elements made of this type of material requires the use of constitutive models capable of estimating their stiffness and strength. A general constitutive model for fiber reinforced laminated composites is presented in this paper. The model is obtained as a generalization of classical mixture theory taking into account the relations among the strains and stresses in the components

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12

Li, Baiping, Yunhai Cheng, and Fenghui Li. "Development and Constitutive Model of Fluid–Solid Coupling Similar Materials." Sustainability 15, no. 4 (2023): 3379. http://dx.doi.org/10.3390/su15043379.

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The Cretaceous Zhidan group (K1zh) pore fissure-confined water aquifer in Yingpanhao Coal Mine, Ordos City, China, has loose stratum structure, high porosity, strong permeability and water conductivity. In order to explore the fluid–solid coupling similar material and its constitutive model suitable for the aquifer, a kind of fluid–solid coupling similar material with low strength, strong permeability and no disintegration in water was developed by using 5~20 mm stone as aggregate and P.O32.5 Portland cement as binder. The controllable range of uniaxial compressive strength is 0.394~0.528 MPa,

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13

Santaoja, K. "Three-Dimensional Ductile Constitutive Equation for Ice." Journal of Offshore Mechanics and Arctic Engineering 112, no. 3 (1990): 270–75. http://dx.doi.org/10.1115/1.2919866.

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In the present paper the constitutive equation for polycrystalline materials, such as ice at wide temperature and strain rate range, is studied. The following deformation mechanisms of the material are examined: instantaneous linear elasticity, viscoelasticity, and viscoplasticity. The uniaxial material model is based on the theory proposed by Sinha. The delayed elastic strain is predicted by the modification introduced by Ashby and Duval to the equation of Sinha. A multiaxial theory to represent the reponse of isotropic polycrystalline material is developed. The multiaxial material model, cal

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14

Terán-Torres, Bernardo T., Jamshid Mohammadi, Sudhakar E. Nair, José M. Mendoza-Rangel, Ismael Flores-Vivian, and César A. Juárez-Alvarado. "Non-Linear Creep-Relaxation Constitutive Damage Model for Aging Concrete." Applied Sciences 14, no. 10 (2024): 4270. http://dx.doi.org/10.3390/app14104270.

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A thermodynamic constitutive damage model for plain concrete, and other quasi-brittle aging materials, under creep relaxation is developed. The model accounts for the anisotropic damage induced through a second-order tensor damage variable. The aging viscoelasticity of the material is considered through the theory of solidification for aging solidifying materials. The material is considered a viscoelastic-damageable material. The Helmholtz free energy, utilized in the formulation, is treated based on the representation theorem of coupled damage strain tensors and Volterra integral equations. T

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15

Wang, Yong Jun, Zhen Qing Wang, Zeng Jie Yang, Hong Qing Lv, and Li Nan Zhu. "Finite Element Realization of Shape Memory Alloy Material Constitutive Model." Advanced Materials Research 211-212 (February 2011): 490–93. http://dx.doi.org/10.4028/www.scientific.net/amr.211-212.490.

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Shape memory alloy (SMA) is a new intelligent material and is used widely in various structures. But the constitutive model of SMA is so complex and particular that it is difficult to calculate by finite element software. In this paper, a special constitutive model of SMA is chose and the constitutive variables are discretized. Through the derivation, it is made possible that the constitutive relation of SMA is put into the UMAT (user-defined material mechanical behavior) subroutine in ABAQUS. So it is available to calculate the structure contained SMA by finite element method.

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16

Shen, Y., K. Chandrashekhara, W. F. Breig, and L. R. Oliver. "Neural Network Based Constitutive Model for Rubber Material." Rubber Chemistry and Technology 77, no. 2 (2004): 257–77. http://dx.doi.org/10.5254/1.3547822.

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Abstract Rubber hyperelasticity is characterized by a strain energy function. The strain energy functions fall primarily into two categories: one based on statistical thermodynamics, the other based on the phenomenological approach of treating the material as a continuum. This work is focused on the phenomenological approach. To determine the constants in the strain energy function by this method, curve fitting of rubber test data is required. A review of the available strain energy functions based on the phenomenological approach shows that it requires much effort to obtain a curve fitting wi

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17

Ding, Zhi-ping, Yi-lun Liu, Ze-yong Yin, Zhi-guo Yang, and Xiao-ming Cheng. "Constitutive Model for an FCC Single-Crystal Material." Frontiers of Mechanical Engineering in China 1, no. 1 (2006): 40–47. http://dx.doi.org/10.1007/s11465-005-0012-9.

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18

Gong, Zihan, Gaoxiao Han, Lidan Li, Hao Chen, and Wengui Zhang. "Plasticity constitutive theory considering material length parameters." Journal of Physics: Conference Series 2808, no. 1 (2024): 012019. http://dx.doi.org/10.1088/1742-6596/2808/1/012019.

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Abstract The traditional continuous medium theory introduces the homogenization assumption that the material remains constant from the macroscopic to the microscopic view, which has been successfully applied to the analysis of the macroscopic mechanical properties. When the dimensions are reduced to the microscopic view, the internal defects of the material start to appear, leading to the inhomogeneity of the material properties, which is, in practice, manifested as a ruler effect. Therefore, it is necessary to introduce the material length parameter into the structural theory to model the mec

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19

Zuo, Xiao Jun, Jun Chu Li, Da Hai Liu, and Long Fei Zeng. "Establishment of an ANSYS-Based Constitutive Modeling for Age Forming of Aluminum Alloy." Applied Mechanics and Materials 217-219 (November 2012): 1497–500. http://dx.doi.org/10.4028/www.scientific.net/amm.217-219.1497.

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Constructing accurate constitutive equation from the optimal material constants is the basis for finite element numerical simulation. To accurately describe the creep ageing behavior of 2A12 aluminum alloy, the present work is tentatively to construct an elastic-plastic constitutive model for simulation based on the ANSYS environment. A time hardening model including two stages of primary and steady-state is physically derived firstly, and then determined by electronic creep tensile tests. The material constants within the creep constitutive equations are obtained. Furthermore, to verify the f

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20

Wei, Zhen Hai, Meng Shu Wang, and Ding Li Zhang. "Study of Constitutive Relationship Model of Material Structure Based on Full State Function." Applied Mechanics and Materials 174-177 (May 2012): 1566–73. http://dx.doi.org/10.4028/www.scientific.net/amm.174-177.1566.

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The structural problem is the key and difficult point for the study of material composed of granules. In this paper, theory of full state function for material structure is put forward by examining the structural morphology of the material. The full state function of material structure reflects the structural properties of material. Thus it can also reflect the variations in of mechanical and geometric properties of material under external force, i.e. the constitutive relationship of material. The constitutive relationship established based on full state function is abbreviated as "full consti

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21

Ding, Liangliang, Xiaoxiao Cui, Wenhui Tang, et al. "Research on the Constitutive Model of PTFE/Al/Si Reactive Material." Polymers 14, no. 7 (2022): 1358. http://dx.doi.org/10.3390/polym14071358.

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As a new type of energetic material, reactive materials are widely used at present; in particular, the metal/polymer mixtures type reactive materials show great advantages in engineering applications. This type of reactive material has good mechanical properties, and its overall performance is insensitive and high-energy under external impact loading. After a large number of previous studies, our team found that the energy release characteristics of PTFE/Al/Si reactive material are prominent. In order to master the mechanical properties of PTFE/Al/Si reactive materials, the quasi-static mechan

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22

Rumor, Leonardo, and António Andrade-Campos. "On the need for material model databases: A state-of-the-art review." Advances in Mechanical Engineering 14, no. 10 (2022): 168781322211305. http://dx.doi.org/10.1177/16878132221130575.

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The majority of FEA simulation software offers a library of material properties. However, the included materials are generic or the most common and do not represent the entire materials market. The problem is fairly solved by the material suppliers that usually provide the material properties of their products or by data available in materials databases. However, the information provided by the materials databases does not include experimental data nor provide information on the testing procedures. Due to this absence, users can not verify the information or its accuracy on the material databa

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23

Xue, He, Yueqi Bi, Shuai Wang, Jianlong Zhang, and Siyu Gou. "Compilation and Application of UMAT for Mechanical Properties of Heterogeneous Metal Welded Joints in Nuclear Power Materials." Advances in Materials Science and Engineering 2019 (November 22, 2019): 1–12. http://dx.doi.org/10.1155/2019/3151823.

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For the problem of mechanical properties of heterogeneous dissimilar metal welded joints, when analyzed by the finite element method, it is usually simplified into a “sandwich” material structure model. However, the mechanical properties of materials in different regions of the “sandwich” material mechanics model are different, and there will be mutations at the material interface. In order to accurately describe the mechanical properties of welded joints, the constitutive equations of dissimilar metal welded joint materials were compiled, and the constitutive equations of inhomogeneous materi

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24

Ciambella, J., and G. Saccomandi. "A continuum hyperelastic model for auxetic materials." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2163 (2014): 20130691. http://dx.doi.org/10.1098/rspa.2013.0691.

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We propose a simple mathematical model to describe isotropic auxetic materials in the framework of the classical theory of nonlinear elasticity. The model is derived from the Blatz–Ko constitutive equation for compressible foams and makes use of a non-monotonic Poisson function. An application to the modelling of auxetic foams is considered and it is shown that the material behaviour is adequately described with only three constitutive parameters.

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25

Yi, Long, Yun Peng, Hou Quan Hong, and Yu Liang Li. "The Secondary Development of Nonlinear Viscoelastic Constitutive Model Based on ABAQUS." Applied Mechanics and Materials 138-139 (November 2011): 466–70. http://dx.doi.org/10.4028/www.scientific.net/amm.138-139.466.

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Based on the subroutine VUMAT, user-defined material model in the nonlinear finite element software ABAQUS/EXPLICIT, a nonlinear viscoelastic constitutive model is developed. The validify of the subroutine has been proven through the standard uniaxial tensile model. The shortage of finite element softwares which only have linear viscoelastic constitutive model is remedied. This paper presents the process of developing a material constitutive model and some useful technology. It can be referred for extending the material constitutive model in finite element softwares.

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26

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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27

Liu, Bing Fei, Guan Suo Dui, and Yu Ping Zhu. "A Micromechanical Constitutive Model for Porous Shape Memory Alloys." Applied Mechanics and Materials 29-32 (August 2010): 1855–61. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.1855.

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A micromechanical constitutive model for responding the macroscopic behavior of porous shape memory alloys (SMA) has been proposed in this work. According to the micromechanical method, the stiffness tensor of the porous SMA is obtained. The critical stresses are calculated by elastic mechanics. Based on the general concept of secant moduli method, the effective secant moduli of the porous SMA is given in terms of the secant moduli of dense SMA and the volume fraction of pores. The model takes account of the tensile-compressive asymmetry of SMA materials and the effect of the hydrostatic stres

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28

Swanson, S. R. "A Constitutive Model for High Elongation Elastic Materials." Journal of Engineering Materials and Technology 107, no. 2 (1985): 110–14. http://dx.doi.org/10.1115/1.3225782.

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Recent advances in computer based structural analysis have in turn led to increased demands for models that can accurately represent material stress-strain behavior. The constitutive representation of high elongation elastic (rubbery) material was thus reexamined. A new strain energy function is presented that appears to have advantages over previous formulations. Finite compressibility is included, and accuracy of material representation appears good over a wide range of conditions.

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29

Jingwei, Zhang, Li Jia, Huang Chuhao, and Chen Shuo. "Study on dynamic viscoelastic constitutive model of nonwater reacted polyurethane grouting materials based on DMA." REVIEWS ON ADVANCED MATERIALS SCIENCE 61, no. 1 (2022): 238–49. http://dx.doi.org/10.1515/rams-2022-0004.

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Abstract Nonwater reacted polyurethane grouting materials are new materials developed to make up for the shortcomings of water-reactive materials in emergency rescue. However, its viscoelastic properties and constitutive model under dynamic loads have not been systematically studied. Based on dynamic thermal mechanical analysis (DMA), the dynamic viscoelastic indexes such as storage modulus, loss modulus, and loss factor of nonwater reacted polymer grouting material were obtained, and the frequency spectrum of polymer with different densities were analyzed. In addition, comparing and analyzing

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30

Nechaeva, E. S., and P. V. Trusov. "Constitutive model of semicrystalline polymer material. Implementation algorithm for mezolevel model." Computational Continuum Mechanics 4, no. 1 (2011): 74–89. http://dx.doi.org/10.7242/1999-6691/2011.4.1.7.

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31

Veluri, Badrinath, and Henrik Myhre Jensen. "Numerical Implementation of Constitutive Material Law for Simulating the Kinkband Formation in Fiber Composites." Key Engineering Materials 488-489 (September 2011): 472–75. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.472.

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Finite element models with a constitutive material behavior that represents the non-linear response of fiber composites are used to simulate the compressive failure mechanism i.e. kinkband formation. A constitutive material law in framework of micromechanical modeling containing comprehensive constitutive equations for the constituent materials is adopted to model the non-linear behavior of the unidirectional layered materials. This material law is implemented as UMAT user subroutine in ABAQUS/Standard to study kinkband formation. The methodology provides a procedure to investigate the kinkban

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32

White, P. S., and A. M. Goodman. "Constitutive equations for creep." Journal of Strain Analysis for Engineering Design 29, no. 3 (1994): 167–75. http://dx.doi.org/10.1243/03093247v293167.

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Creep constitutive equations are discussed in their role as material descriptions forming one of the governing conditions of an inelastic stress analysis. The view taken is that they must not only give an adequate picture of the material behaviour itself, but must also be suitable from the numerical point of view. Furthermore, in practical engineering contexts, constitutive equations must be principally aimed at giving information for structural assessment under realistic loading conditions and subject to various uncertainties. The choice of model is, therefore, not aimed at an exact material

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Nguyen, Giang Dinh. "An Enriched Constitutive Model for Fracture Propagation Analysis Using the Material Point Method." Applied Mechanics and Materials 553 (May 2014): 731–36. http://dx.doi.org/10.4028/www.scientific.net/amm.553.731.

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We develop a novel constitutive modeling approach for the analysis of fracture propagation in quasi-brittle materials using the Material Point Method. The kinematics of constitutive models is enriched with an additional mode of localized deformation to take into account the strain discontinuity once cracking has occurred. The crack details therefore can be stored at material point level and there is no need to enrich the kinematics of finite elements to capture the localization caused by fracturing processes. This enhancement also removes the drawback of classical smeared crack approach in pro

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Li, Huan, Jing Chao Jia, Pan Hui Zhang, Guo Bin Yang, and She Jiao Su. "A Constitutive Model for Collapsible Loess Material: II Application." Advanced Materials Research 511 (April 2012): 122–25. http://dx.doi.org/10.4028/www.scientific.net/amr.511.122.

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A constitutive model for collapsible loess material is presented. The numerical experiments indicate that this model can capture hydrocompaction behaviors of loess material under different water contents and pressures. The numerical results show good agreement with the laboratory tested collapsibility parameters of the loess material. The model is also applied to study a loess material-filled slope with height of 38m using FLAC5.0. The stability and the collapsibility deformation status of the loess slope are analyzed

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Gamonpilas, C., and R. McCuiston. "A non-linear viscoelastic material constitutive model for polyurea." Polymer 53, no. 17 (2012): 3655–58. http://dx.doi.org/10.1016/j.polymer.2012.06.030.

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36

Suleiman, Muhannad T., and Brian J. Coree. "Constitutive Model for High Density Polyethylene Material: Systematic Approach." Journal of Materials in Civil Engineering 16, no. 6 (2004): 511–15. http://dx.doi.org/10.1061/(asce)0899-1561(2004)16:6(511).

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37

Atzema, E. H. "Temperature dependency of material constitutive behaviour: a simple model." IOP Conference Series: Materials Science and Engineering 651 (November 25, 2019): 012051. http://dx.doi.org/10.1088/1757-899x/651/1/012051.

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38

Baker, William P., Lloyd B. Eldred, and Anthony N. Palazotto. "Viscoelastic material response with a fractional-derivative constitutive model." AIAA Journal 34, no. 3 (1996): 596–600. http://dx.doi.org/10.2514/3.13109.

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39

Pawlikowski, Marek. "Non-linear constitutive model for the oligocarbonate polyurethane material." Chinese Journal of Polymer Science 32, no. 12 (2014): 1666–77. http://dx.doi.org/10.1007/s10118-014-1549-z.

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40

Drozdov, A. "Constitutive model of a viscoelastic material at finite strains." Mechanics Research Communications 19, no. 6 (1992): 535–40. http://dx.doi.org/10.1016/0093-6413(92)90080-t.

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41

Lu, Dechun, Xin Zhou, Xiuli Du, and Guosheng Wang. "A 3D fractional elastoplastic constitutive model for concrete material." International Journal of Solids and Structures 165 (June 2019): 160–75. http://dx.doi.org/10.1016/j.ijsolstr.2019.02.004.

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42

Lei, Ning, and Daochun Xu. "Deformation temperature and material constitutive model of cupronickel B10." Journal of Mechanical Science and Technology 31, no. 8 (2017): 3761–67. http://dx.doi.org/10.1007/s12206-017-0719-7.

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43

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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Saboori, Mehdi, Javad Gholipour, Henri Champliaud, Augustin Gakwaya, Jean Savoie, and Priti Wanjara. "Effect of Material Model on Finite Element Modeling of Aerospace Alloys." Key Engineering Materials 554-557 (June 2013): 151–56. http://dx.doi.org/10.4028/www.scientific.net/kem.554-557.151.

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Increasing acceptance and use of hydroforming technology within the aerospace industry requires a comprehensive understanding of critical issues such as the material characteristics, friction condition and hydroformability of the material. Moreover, the cost of experiments that can be reduced by accurate finite element modeling (FEM), which entails the application of adapted constitutive laws for reproducing with confidence the material behavior. In this paper, the effect of different constitutive laws on FEM of tubular shapes is presented. The free expansion process was considered for develop

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Li, Feng, and Tianbo Peng. "An OpenSees Surrogate Constitutive Model for High-Damping Rubber Based on Machine Learning." Polymers 16, no. 23 (2024): 3424. https://doi.org/10.3390/polym16233424.

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The complex mechanical properties of high-damping rubber (HDR), a commonly used seismic isolation material in buildings and bridges, present a significant challenge in civil engineering. In a previous study, the authors proposed an HDR constitutive model that combines a Gated Recurrent Unit (GRU) and an attention mechanism, offering novel insights into the mechanical properties of HDR. The constitutive model was simplified first to facilitate the deployment of the proposed constitutive model within the finite element analysis environment. Then, the simplified constitutive model was converted i

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Béda, Gyula, and Peter B. Béda. "Mechanical Modeling of Gradient Materials." Materials Science Forum 812 (February 2015): 413–18. http://dx.doi.org/10.4028/www.scientific.net/msf.812.413.

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Gradient materials get more and more importance in both material science and numerical studies of technological processes. Their mathematical model is called the constitutive equation. The theoretical background of such model is presented on the basis of thermodynamics and continuum mechanics. The results show which is the quantity to measure to get constitutive equation for gradient dependent materials.

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Xie, Jiuming, Shiyu Wang, Zhongbao Cui, Jin Wu, and Xuejun Zhou. "Research on Anisotropic Viscoelastic Constitutive Model of Compression Molding for CFRP." Materials 13, no. 10 (2020): 2277. http://dx.doi.org/10.3390/ma13102277.

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The carbon-fiber-reinforced polymer (CFRP) is a mainstream material for lightweight products from the end of the 20th century to the present day. Its compression molding process has obvious advantages in mass production. This paper attempts to establish the constitutive models of compression molding of the CFRP materials and study their mechanism. Based on anisotropic linear elastic mechanics, viscoelastic mechanics, and thermodynamics, as well as the Maxwell viscoelastic constitutive model, we first establish the constitutive model of thermorheologically simple CFRP materials (TSMs). Then, co

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Hynčík, Luděk, Petra Kochová, Jan Špička, et al. "Identification of the LLDPE Constitutive Material Model for Energy Absorption in Impact Applications." Polymers 13, no. 10 (2021): 1537. http://dx.doi.org/10.3390/polym13101537.

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Current industrial trends bring new challenges in energy absorbing systems. Polymer materials as the traditional packaging materials seem to be promising due to their low weight, structure, and production price. Based on the review, the linear low-density polyethylene (LLDPE) material was identified as the most promising material for absorbing impact energy. The current paper addresses the identification of the material parameters and the development of a constitutive material model to be used in future designs by virtual prototyping. The paper deals with the experimental measurement of the st

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Zhu, Yuxuan, Guoqiang Luo, Ruizhi Zhang, et al. "Investigation of the Constitutive Model of W/PMMA Composite Microcellular Foams." Polymers 11, no. 7 (2019): 1136. http://dx.doi.org/10.3390/polym11071136.

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Investigating the constitutive relationship of a material can provide better understanding of the mechanical properties of a material and has an irreplaceable effect on optimizing the performance of a material. This paper investigated a constitutive model for tungsten/polymethyl-methacrylate (W/PMMA) composite microcellular foams prepared by using melt mixing and supercritical carbon dioxide foaming. The stress-strain relationships of these foams with different W contents were measured under static compression. The elastic modulus and compressive strength values of the foams were remarkably gr

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Jia, Xiangdong, Kunming Hao, Zhan Luo, and Zhenyu Fan. "Plastic Deformation Behavior of Metal Materials: A Review of Constitutive Models." Metals 12, no. 12 (2022): 2077. http://dx.doi.org/10.3390/met12122077.

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The deformation behavior of metal materials in plastic forming is intimately related to deformation conditions, which are greatly affected by deformation rate, forming temperature, and plastic variables. Macroscopic mechanical properties research is an important basis and technical means to analyze the process parameters and deformation process of metal plastic forming. Therefore, to reveal the influence mechanism of macroscopic mechanical properties of metal materials, and establish material constitutive models under different deformation conditions, it is of great significance to choose reas

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