Computation of Limit Loads for Bending Plates

On Bending of Elastic Plates*

Stress intensity factors computation for bending plates with extended finite element method

To cite this version: Lasry, Jérémie and Renard, Yves and Salaün, Michel Stress intensity factors computation for bending plates with extended finite element method. (2012) International Journal for Numerical Methods in Engineering, vol. 91 (n° 9). pp. 909-928. ISSN 0029-5981 Open Archive Toulouse Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse rese...

Nonlinear bending models for beams and plates.

A new nonlinear model for large deflections of a beam is proposed. It comprises the Euler-Bernoulli boundary value problem for the deflection and a nonlinear integral condition. When bending does not alter the beam length, this condition guarantees that the deflected beam has the original length and fixes the horizontal displacement of the free end. The numerical results are in good agreement w...

Effective bending stiffness for plates with microcracks

In this paper, micromechanics methods are applied to characterize the damage of plate structures, both Love-Kirchhoff and Reissner-Mindlin plates, due to microcrack distribution. Analytical expressions for effective stiffness of a damaged plate with distributed microcracks are derived for the first time. The results are compared with the results based on continuum damage theory, and it is found...

Homogenization of the Nonlinear Bending Theory for Plates

We carry out the spatially periodic homogenization of nonlinear bending theory for plates. The derivation is rigorous in the sense of Γ-convergence. In contrast to what one naturally would expect, our result shows that the limiting functional is not simply a quadratic functional of the second fundamental form of the deformed plate as it is the case in nonlinear plate theory. It turns out that t...