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
References
- 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, 10.1016/j.actamat.2009.10.058.
- 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, 10.1007/s11665-020-05028-w.
- 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, 10.3390/ma16020863.
- 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, 10.1061/(asce)cc.1943-5614.0001271.
- 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, 10.1063/1.2436928.