Linguistics

Beam (structure)

Composite number

Engineering

Philosophy

Materials science

Stress (linguistics)

Bending

Computer science

Classical mechanics

Solid mechanics

Physics

Collocation (remote sensing)

Timoshenko beam theory

Mathematics

Microstructure

Mathematical analysis

Composite material

Structural engineering

Kinematics

Mechanics

Machine learning

Composite Structures

A modified couple stress theory and a meshless method are used to study the bending of simply supported laminated composite beams subjected to transverse loads. The Timoshenko beam kinematics are employed to model the beam, by a modified couple stress theory. The governing equations for the Timoshenko beam are solved numerically using a meshless method based on collocation with radial basis functions. The numerical method is easy to implement and provides accurate results that are in excellent agreement with the analytical solutions. Moreover, the results show that the present model can capture the effects of the microstructure.

A study of a microstructure-dependent composite laminated Timoshenko beam using a modified couple stress theory and a meshless method