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Zhong, J. Constitutive Modeling. Encyclopedia. Available online: https://encyclopedia.pub/entry/60980 (accessed on 07 November 2026).
Zhong J. Constitutive Modeling. Encyclopedia. Available at: https://encyclopedia.pub/entry/60980. Accessed November 07, 2026.
Zhong, Jack. "Constitutive Modeling" Encyclopedia, https://encyclopedia.pub/entry/60980 (accessed November 07, 2026).
Zhong, J. (2026, October 14). Constitutive Modeling. In Encyclopedia. https://encyclopedia.pub/entry/60980
Zhong, Jack. "Constitutive Modeling." Encyclopedia. Web. 14 October, 2026.

Constitutive Modeling

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Constitutive modeling is the formulation of the relation between stress and strain, or between flux and driving force, that closes a boundary-value problem. In crystal plasticity the constitutive law, the kinematics, and the homogenisation scheme have to be chosen together, and the three are reviewed as one subject [1]. Shape memory alloys need a law that carries the transformation strain as well as the plastic strain into the finite element solution [2]. Cyclic crack propagation in concrete is modelled with a scaled boundary formulation coupled to a cohesive law [3]. Confinement of non-circular columns by fibre-reinforced polymer is treated with an evolutionary potential law [4]. Indentation-induced superelasticity is reproduced with a three-dimensional law of the same class [5].

constitutive law crystal plasticity finite element stress-strain homogenization cohesive model boundary value problem
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References

  1. Roters, F.; Eisenlohr, P.; Hantcherli, L.; Tjahjanto, D.; Bieler, T.; Raabe, D. Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications. Acta Materialia 2010, 58, 1152-1211. [CrossRef]
  2. Ashrafi, M.J. Transformation and Plasticity of Shape Memory Alloy Structures: Constitutive Modeling and Finite Element Implementation. Journal of Materials Engineering and Performance 2020, 29, 5515-5524. [CrossRef]
  3. Alrayes, O.; Könke, C.; Ooi, E.T.; Hamdia, K.M. Modeling Cyclic Crack Propagation in Concrete Using the Scaled Boundary Finite Element Method Coupled with the Cumulative Damage-Plasticity Constitutive Law. Materials 2023, 16, 863. [CrossRef]
  4. Zheng, B.T.; Teng, J.G. Finite-Element Modeling of FRP-Confined Noncircular Concrete Columns Using the Evolutionary Potential-Surface Trace Plasticity Constitutive Model for Concrete. Journal of Composites for Construction 2023, 27, 04022089. [CrossRef]
  5. Zhang, Y.; Cheng, Y.T.; Grummon, D.S. Finite element modeling of indentation-induced superelastic effect using a three-dimensional constitutive model for shape memory materials with plasticity. Journal of Applied Physics 2007, 101, 053507. [CrossRef]
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Subjects: Materials Science, Ceramics
Contributor MDPI registered users' name will be linked to their SciProfiles pages. To register with us, please refer to https://encyclopedia.pub/register : Jack Zhong
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Update Date: 14 Oct 2026
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