Abstract
In this study a new numerical-analytical method for elasto-plastic and plastic modelling and simulating of FG beams is presented. The functionally graded (FG) beam composed of ten layers through the thickness and it is assumed that the mechanical properties of the beam vary through the thickness described by a simple power law distribution in terms of the volume fractions of constituents. The beam is assumed to be under transverse pressure load. In this paper a new method is presented based on linearization of the nonlinear part of the stress-strain curve of the material of the layers of the FG beam and using the elastic relations for bending analysis of beams. Numerical results for functionally graded beam are given and results of this paper for homogeneous beam are compared with other methods and good agreement is obtained between them. In addition, the effects of material properties on the stress field through the thickness of the FG beam are determined and discussed.
Highlights
Nowadays, beams are widely used in different industries especially in civil structures
This paper studies a new numerical-analytic method for elasto-plastic and plastic modeling of functionally graded (FG) beams under transverse pressure loads
In this paper a new numerical-analytical method is presented for simulation and analysis of beam made of functionally graded materials at elasto-plastic and plastic cases
Summary
Beams are widely used in different industries especially in civil structures. Sayman et al [3] performed elasto-plastic stress analysis of a one-side clamped composite beam reinforced with thermoplastic fibers under a uniform distributed load. Sayman et al [4] proposed an analytical method for elasto-plastic stress analysis of one-side clamped thermoplastic composite beams under bending moment. The functional solutions derived under the assumption of at most quadratic bending moment distribution enable fully analytical tracing of the elasto-plastic state evolution in structural components by monotonic and proportional application of loads to a beam structure. This paper studies a new numerical-analytic method for elasto-plastic and plastic modeling of FG beams under transverse pressure loads. This method is based on linearization of plastic zone of the beam’s material and applying analytical relationships of elastic case. Axial stress values in different layers of FG beam and displacement of its center are presented
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