A non-classical Bernoulli-Euler beam model based on a simplified micromorphic elasticity theory

A new non-classical Bernoulli-Euler (B-E) beam model is developed using a simplified micromorphic elasticity theory. This micromorphic theory, which contains 7 independent material constants, is first proposed by simplifying the classical Eringen-Mindlin micromorphic theory for isotropic linear elastic materials, which includes 18 elastic constants. The new B-L beam model is then formulated by applying the simplified micromorphic theory and...