Pre-stressed sinusoidal shaped member units and support member units are parts forming assemblies. Relaxed material elements are elastically deformed into pre-stressed sinusoidal shaped members having flexural properties.  Support members function to maintain the sinusoidal shaped members deformed state.  The sinusoidal shaped members and their dependent support members are assembled into curvilinear pre-stressed structural arrangements containing elastic potential energy that is ideally equal to the work done by the forces that formed the pre-stressed structure. The structure’s pre-stressed sinusoidal shaped members are naturally adapted to use materials having exceptional toughness, strength and flexural properties.

The structure’s pre-stressed state intends to enhance its mechanical and/or structural performance. The number, density and possible geometric configurations of the discrete sinusoidal shaped member units and discrete support members units within an assembly is vast.

Sinusoidal pre-stressed composite material assemblies may function on their own as a structure, a mechanical device or be encased in cellular solid material shapes including those formed from foams and micro-lattices in lieu of cement products; therefore, maintaining the high performance composites’ weight advantage. Advances in composite material science will allow the pre-stressing of assemblies to become sufficiently advanced to make its use common practice in a range of applications.

The engineering of an assembly designed to exhibit flexural torsion buckling would have flexural regions containing flexure elements that function as design flexures having the ability to elastically buckle, rather than suddenly fail when subjected to forces that cause large deflections.