membrane theory


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membrane theory

In the design of thin shells, a theory assuming that a shell cannot resist bending because it deflects, and that the only stresses in any section are shear stress and direct compression or tension.
References in periodicals archive ?
On one hand, the integral of the membrane theory occurs in the formula for boundary effects and on the other hand, the oscillating part of the solution occurs in the formula for the membrane state.
The question whether a membrane theory can determine tangential characteristics of shell deformation in a transient process was also of Alumae's interest.
The static problem of the shell theory solved by Goldenveiser does not contain enough examples of that phenomenon because the general moment theory is of elliptic type and only its degeneration, the membrane theory, is described by equations that have real characteristics in the case of negative or zero curvature.
The Lagrangian equation together with an assumption of the membrane theory is used in the finite element implementation.
It is reasonable to apply the membrane theory to study the deformation of PET during this process.
By extracting p from Eq 14 and substituting p in Eq 11, we get the constitutive law of the visco-hyperelastic model corresponding to the membrane theory as follows:

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