Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Generalized Nonlinear Constitutive Law Applied to Steel Trapezoidal Sheet Plates

Version 1 : Received: 4 June 2021 / Approved: 7 June 2021 / Online: 7 June 2021 (08:33:56 CEST)

How to cite: Staszak, N.; Gajewski, T.; Garbowski, T. Generalized Nonlinear Constitutive Law Applied to Steel Trapezoidal Sheet Plates. Preprints 2021, 2021060153 (doi: 10.20944/preprints202106.0153.v1). Staszak, N.; Gajewski, T.; Garbowski, T. Generalized Nonlinear Constitutive Law Applied to Steel Trapezoidal Sheet Plates. Preprints 2021, 2021060153 (doi: 10.20944/preprints202106.0153.v1).

Abstract

In the paper, a modified nonlinear finite element method for analysis of trapezoidal plates geometrically reduced to shallow-shell Reissner-Mindlin formulation is presented. Due to the method proposed the complex plate cross-section and nonlinear materials may be modelled and no implementation of advanced constitutive law via user subroutines is needed. The generalized nonlinear constitutive law is used to update the stiffness of the plate element. The method enables modeling of complicated cross-sections, such as steel trapezoidal sheets, metal facing sandwich panels or reinforced concrete. Additionally, for those geometrically complex sections an advanced nonlinear material may be adopted. To verify the proposed method, a selected trapezoidal sheets were modeled in a commercial software as full 3D shell structures. By comparing displacements and forces, it was shown that both models behave almost identically, however, the simplified model has about 300-400 times less degrees of freedom, thus it is much more efficient.

Subject Areas

generalized nonlinear constitutive law; trapezoidal sheet plates

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