عنوان المقالة:Basic problems of fibre-reinforced structural components when fibres resist bending Basic problems of fibre-reinforced structural components when fibres resist bending
This thesis generates certain sets of analytical and approximate solutions to a new class of partial differential equations stemming from a version of asymmetricstress elasticity theory appropriate for the study and prediction of the behaviour of fibre-reinforced materials containing fibres that resist bending. These new solutions are of theoretical and practical interest in the static and dynamic analysis of thinwalled, linearly elastic fibre-reinforced structures influenced by couple-stress and unsymmetric stress due to fibre bending stiffness. The static and free vibration solutions are constructed considering bending resistance fibres in a small deformation, of beams and plates. Numerical results for displacements, stresses, couple-stress and natural ｦ ｲ･ ｱ ｵ･ ｾ] ｩ･ ｳ of vibration are provided to investigate the influence of the fibres resistance in bending on the deformed beams and plates.
الملخص الانجليزي
This thesis generates certain sets of analytical and approximate solutions to a new class of partial differential equations stemming from a version of asymmetricstress elasticity theory appropriate for the study and prediction of the behaviour of fibre-reinforced materials containing fibres that resist bending. These new solutions are of theoretical and practical interest in the static and dynamic analysis of thinwalled, linearly elastic fibre-reinforced structures influenced by couple-stress and unsymmetric stress due to fibre bending stiffness. The static and free vibration solutions are constructed considering bending resistance fibres in a small deformation, of beams and plates. Numerical results for displacements, stresses, couple-stress and natural ｦ ｲ･ ｱ ｵ･ ｾ] ｩ･ ｳ of vibration are provided to investigate the influence of the fibres resistance in bending on the deformed beams and plates.