Incorporation of thermal effects into the energy‐momentum consistent elastic model for fiber‐bending stiffness in composites

Owing to the wide acceptance of fiber reinforced composites in lightweight structure industry, need study its thermo-elastic behavior dynamical multi-body systems still remains an open question. Standard continuum models, by virtue first-order gradient deformation, cannot capture curvature effects and hence appropriate extensions standard modeling techniques are indispensable model accurate physical stiffness. The fiber-bending captured introducing a higher-order deformation as independent field continuum. This work explores detail, further extension this understand thermal on bending stiffness bundle fiber-reinforced composites. Our proposed incorporates temperature composite bidirectional dependency with gradients into extended mechanical model. implementation is pursued context multi-field mixed finite element method dynamic variational principle. principle virtual power enables our non-isothermal derive energy-momentum scheme higher order. resulting time-integrator exhibits physically consistent locking- free numerical simulations. novel approach illustrated simple transient simulations hyperelastic, transversely isotropic, polyconvex material behavior. We investigate conservation total energy momentum framework thermo-elasticity spatial temporal convergence for long-term coarser grids increased solutions.