Modeling of transverse shears of piecewise homogeneous composite bars using an iterative process with account of tangential loads

Abstract

Introduction. The development of models for bent bars with regard to the effect of transverse (tangential) shears began with the solution of the vibration problem for bars suggested by S. P. Timosbenko, who was the first to introduce the concept of a shear-caused rotation angle of a cross section. The models taking into account the transverse shears were called refined, nonclassical, or Timoshenko-type models [I]. The construction of such models and the corresponding theories of bending of bars (beams), plates, and shells is widely described in the literature, including monographs and fundamental overviews [1][2][3][4][5][6][7][8][9]. Especially complicated is the construction of nonclassical models for nonuniform composite objects, particularly for composite bars with a discrete or so-called hybrid structure whose inhomogeneity is manifested both in their structure and cross-sectional shapes. From this it follows that the creation of nonclassical models for such bars is a high-priority task. The present study describes a nonclassical model for bent composite bars, allowing for the influence of transverse shears on the basis of an iterative process.Since we are dealing with transverse (tangential) shears, it is important to take into account not only the normal but also tangential loads, which can significantly affect the stress-strain state of a bar.

An experimental method for the investigation of rigid polyurethane foams in shear

“…Numerical calculations are performed and compared with mathematical modelling results of Piskunov et al. 12,13 and experimental data of corresponding tests, proving a good correspondence.…”

“…The experimentally determined Δx 2 i data are in a good correspondence with the numerical simulation results of the displacement field according to a non-classical mathematical model for a composite beam’s normal and tangential loading taking into account the shear deplanation of the cross-section. 12,13…”

“…Shear stress field in a sample, adhesively attached to the supports, is inhomogeneous since: (1) a complex stress field exists near the interface ‘Adhesive – foams’ (end zone effects), 12,13 (2) four surfaces of a rectangular sample are free of load and (3) sample is bent simultaneously with being sheared. The influence of bending is the highest near supports.…”

The Stress-Strain State Computer Modelling of Reinforced Masonry Under Local Loading

“…Numerical modelling of SSS is made in NASTRAN system [4,[6][7][8][9][10][11][12]. This finite-element analysis program has been recognized as a leader in this field because of the complete overview of the different physical materials nature phenomena which being studied.…”

Evaluation of the Warping Model for Analysis of Polystyrene Concrete Slabs with Profiled Steel Sheeting

“…Existing models [1][2][3][4][5][6][7][8][9][10] are used for analyzing layered beams and slabs with a simple cross-sectional shape without inclusions, so the considered model enables us to take into account any inhomogeneous structure of cross-section. However, this model has not yet been applied for analyzing reinforced concrete structures.To assess the applicability of checking and verify the model, offered by V. G. Piskunov and co-authors in [11][12][13] for studying steel reinforced concrete structures, it is necessary to carry out an analysis of a real structure, and to compare the obtained results with the experimental data. To do so, a polystyrene concrete slab with profiled steel sheeting (PCSPSS) for which experimental results were known has been taken as the object of research.…”