• Elasto-plastic constitutive modeling and iterative solution strategies emerge as a core pattern: unified formulations for stress increments and yield criteria, plus initial-stress ideas that accelerate convergence and permit larger load steps across diverse loading paths [1], [2], [10], [4], [9].

• Dislocation-based approaches connect microscopic lattice defects with continuum fields to describe stress and plastic strain around dislocations in anisotropic media, using Fourier representations and atomistic insights to relate core structure to macroscopic deformation [5], [3], [12], [18], [20], [14].

• Advances in numerical discretization for plates and shells include reduced integration to avoid stiffness, polygonal elements for flexible geometries, and stress-focused isoparametric formulations that improve convergence and accuracy in structural analyses [6], [17], [2].

• Hyperelastic and nonlinear elastic modeling for rubber-like materials emphasizes strain-energy formulations expressed via extension ratios or invariants, supporting simple, separable representations and material-specific parameterizations [8], [7].

• Time-dependent plasticity and creep research advances include visco-plastic flow modeling, non-Newtonian flow treatments, and creep/recovery experiments informing rate- and density-dependent deformation patterns [9], [19], [13].