The Stoney formula is widely used to obtain residual stress in films on isotropic circular plates. However, the case of large deformations, this produces significant errors because assumption small deformations its derivation. In study, a modified that extends scope application nonlinear domain proposed. A one-phase exponential decay function with single coefficient p relate curvature substrate...

Assessing the behavior of composite structures which are subjected to impact loads is one of the important subjects in the field of mechanical sciences. Using thin-walled tubes which collapsed and absorbed the impact energy is a well-known method to prevent damages to the other parts of the structures. In this paper, deformations, crushing length, peak load, mean force and energy absorption cap...

An asymptotic model is constructed to describe the bending of thin sheets, or plates, viscoplastic fluid described by Herschel–Bulkley constitutive law, which incorporates von Mises yield condition and a nonlinear viscous stress. The reduces number previous ones from plasticity theory mechanics in various limits. It characterized criterion proposed Ilyushin compactly combines effect moment in-p...

Abstract Negative Gaussian curvature in deformed surface subjected to concentrated loads is a key weakening factor on the accuracy of umbrella antennas. The negative impacts can be mitigated by increasing bending rigidity reflector surface. Thus, firstly, this paper concerned with effect based analysis circular thin plate large deflection. Exact expressions for plates are derived using analytic...

Abstract  In this paper , the nonlinear the nonlinear free and forced axisymmetric vibration of a thin circular functionally graded plate with rigid core is formulated in terms of von-Karman’s dynamic equation , and a semi-analytical approach is developed.Functionally graded material (FGM) properties vary through the thickness of the plate.FGM s are spatial composites within which material prop...