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A triangular flat shell element for large deformation analysis of linear viscoelastic laminated composites is presented. The triangular flat shell element is obtained as the simple combination of the Discrete Kirchhoff Theory (DKT) plate bending element and a membrane element similar to the Allman Triangle (AT), but derived from transforming the Linear Strain Triangle (LST). Prony series are used to represent linear viscoelastic material properties. Time-temperature superposition is used to account for the effect of temperature upon the thermo-rheologically simple material properties. Hygrothermal loads are included in the formulation with the allowance for different elements to be at different temperatures. Recurrence relations are developed and implemented for the evaluation of the viscoelastic memory loads. The large deflection formulation uses nonlinear Green-Lagrange strains along with second Piola-Kirchhoff …