Parametric modelling of cellular beam and plate structures by orthotropic strain gradient thermoelasticity

For three-dimensional cellular beam- and plate-like structures with a triangular microarchitecture, this conference contribution presents a family of two-scale beam and plate models relying on the anisotropic form of Mindlin's strain gradient elasticity theory of form II. A computational homogenization method is adopted for determining the constitutive parameters of the related classical and higher-order constitutive tensors. Isogeometric conforming Galerkin methods are applied for solving the beam and plate problems. Numerical examples illustrate the reliability and efficiency of the dimensionally reduced structural models and numerical methods – in capturing the bending size effects induced by the microarchitecture, in particular