Geometrically nonlinear buckling analysis of cement-based structures with thermoelastic effects and material damage

Resumo

This work presents a geometrically nonlinear formulation for the analysis of buckling problems
involving cement-based structures susceptible to thermoelastic effects and progressive material damage.
Particularly, we are interested in simulating bifurcation and snap-through phenomena of columns and shallow
arches under such conditions. The thermoelastic material implementation is based on a multiplicative
decomposition of the deformation gradient, wherein the temperature field is assumed to be known (given). Damage
effects, in turn, are taken into account based on a simple (yet representative) nonlocal continuum damage
mechanics (CDM) mode ocality of which is ensured by means of a
homogenization of the elastic equivalent deformation field. The formulation is implemented in an in-house finite
element code developed by the authors including tools for solving two-dimensional plane strain problems. The
model is solved within an iterative, fully consistent Newton-Raphson scheme. A numerical example is provided
to validate our model and illustrate its capabilities against known results from the literature.