Cylindrical bending of a plate by rigid stamps

Grigoliuk, E.L.; Tolkachev, V. M.

doi:10.1016/0021-8928(75)90124-0

Cited by 3 publications

(1 citation statement)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In what follows, we express the contact pressure between the Euler-Bernoulli beam and the dies by the difference Δ = w − a, where w stands for a normal displacement of the middle surface [49,[52][53][54], and the following simple formula holds…”

Section: Discussionmentioning

confidence: 99%

Contact interaction of two rectangular plates made from different materials with an account of physical nonlinearity

et al. 2017

View full text Add to dashboard Cite

A mathematical model of a contact interaction between two plates made from materials with different elasticity modulus is derived taking into account physical and design nonlinearities. In order to study the stress-strain state of this complex mechanical structure, the method of variational iteration has been employed allowing for reduction of partial differential equations to ordinary differential equations (ODEs). The theorem regarding convergence of this method is formulated for the class of similar-like problems. The convergence of the proposed iterational procedure used for obtaining a solution to contact problems of two plates is proved. In the studied case, the physical nonlinearity is introduced with the help of variable parameters associated with plate stiffness. The work is supplemented with a few numerical examples. Both

show abstract

Section: Discussionmentioning

confidence: 99%