Constitutive Modeling of Beams Using Mechanics of Structure Genome
A slender structure with one dimension much larger than the other two is defined as a beam. Since only external geometry matters, beams thus defined refer to not only regular structures with uniform, solid cross sections made of isotropic materials but also any other slender structures possibly made of composites with or without complex internal constructions. A beam can be considered as a one-dimensional (1D) continuum with kinetics, kinematics, and constitutive relations formulated using continuum mechanics. Constitutive modeling of beams is concerned with obtaining the constitutive relations for the 1D beam model. Mechanics of structure genome (MSG) is a unified approach for constitutive modeling of all types of composite structures including beams, plates, shells, and 3D solids.
Beam Modeling as Taught in Traditional Textbooks
Most beam theories taught in traditional textbooks and proposed...
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