Post-buckling of web-core sandwich plates based on classical continuum mechanics: success and needs for non-classical formulations

Abstract

The paper investigates the post-buckling response of web-core sandwich plates through classical continuum mechanics assumptions. The compressive loading is assumed to be in the direction of the web plates. Equivalent Single Layer (ESL) plate formulation is used with the kinematics of the First order Shear Deformation Theory (FSDT). During the initial, membrane-dominated loading stages, it is observed that the effect of finite size of the periodic microstructure is barely influences the plate responses. At the higher loads, when bending is activated, the finite size of the microstructure activates secondary shear-induced bending moments at the unit cells of the plate. A method to capture the envelope of the maximum values of these bending moments is presented. The findings are validated with the shell element models of the actual 3D-geometry. Finally, the physical limits of the classical continuum mechanics are discussed in the present context.

Mechanical response of galvanised steel sandwich structure with different numbers of web core and different spacing distance of web plate under bending load

“…In addition, the need to investigate new materials and structural configurations in ship structures has been sparked by the high demand for lighter and safer structures [24,30,33]. Flat web plates perpendicular to the face plates forms the most basic geometry of all-metal sandwich structures [4,5,28,34,38,39]. The web plates in this web-core system only run in one direction and are usually 10-100 times the thickness of the face plate.…”

“…In the direction of the web plate, the core provides continuous support to the face plates, and distinct support in the transverse direction. As a result, the web-core panel has a high degree of orthotropy [4,5,30,39].…”

Self-moments stiffening effect and buckling strength of periodic Vierendeel beams

“…However, it gives unsatisfactory results when the cell size is not small compared with the girder length or non-negligible transversal shear forces and bending moments are induced in the chords [21,22]. For these reasons, several theories have been formulated to overcome these limitations [6,[23][24][25][26][27].…”

Editorial to the special issue: Recent advances in Computational Mechanics and Innovative Materials, in honor of Professor J.N. Reddy for his 75th birthday

“…The first two papers are co-authored by Prof. Reddy himself [1,2]. Raghu et al [1] present a phase-field model for fracture of thick plates under dynamic loads.…”

“…Raghu et al [1] present a phase-field model for fracture of thick plates under dynamic loads. Romanoff et al [2] investigate post-buckling of webcore sandwich plates based on classical continuum and point out the need for non-classical continuum mechanics, which is a topic addressed by a few other authors. For instance, Romano and Diaco [3] present a theoretical account of nonlocal problems in elasticity.…”