In this work, we derive an analytical relationship for an inextensible fiber network when it buckles. The derivation is based on the similarity between this buckling problem and oscillation behavior of a simple pendulum. According to the relationship, the applied compressive force can be determined according to the maximum absolute values of deflection and angle of deflection in the network’s wrinkles.
This relationship is independent of boundary conditions, and thus can be used to determine applied load not only in the rectangular sheet, but also in the cloth or curtain whose local area is wrinkled. This relationship is also valid for both inextensible and extensible beams, and is particularly applied here to find compressive residual stress of a buckled doubly-clamped microbeam.
Back to Surface Stress in Nature and Technology
Back to SES Abstracts
Back to The 41st Annual SES Technical Meeting