Experimental Investigation of Stress Distributions in 3D Printed Graded Plates with a Circular Hole.

Quanquan Yang,He Cao,Xiaogang Chen,Youcheng Tang,Yun Li

doi:10.3390/ma14247845

Abstract

An experimental investigation is presented for the stress distributions in functionally graded plates containing a circular hole. On the basis of the authors’ previously constructed theoretical model, two kinds of graded plates made of discrete rings with increasing or decreasing Young’s modulus were designed and fabricated in virtue of multi-material 3D printing. The printed graded plates had accurate size, smooth surface, and good interface. The strains of two graded plates under uniaxial tension were measured experimentally using strain gages. The stresses were calculated within the range of linear elastic from the measured strains and compared with analytical theory. It is found that the experimental results are consistent with the theoretical results, and both of them indicate that the stress concentration around the hole reduces obviously in graded plates with radially increasing Young’s modulus, in comparison with that of perforated homogenous plates. The successful experiment in the paper provides a good basis and support for the establishment of theoretical models and promotes the in-depth development of the research field of stress concentration in functionally graded plates.

Highlights

IntroductionIt is found that the experimental results are consistent with the theoretical results, and both of them indicate that the stress concentration around the hole reduces obviously in graded plates with radially increasing Young’s modulus, in comparison with that of perforated homogenous plates
Jiangsu Province Key Laboratory of Advanced Manufacturing Technology, Huaiyin Institute of Technology, Citation: Yang, Q.; Cao, H.; Tang, Y.; Abstract: An experimental investigation is presented for the stress distributions in functionally graded plates containing a circular hole
According to the dimensions of printed Functionally graded materials (FGMs) plates, we took the radius of circular hole as r0 = 5 mm in the theoretical model and decomposed the FGM plate into five homogenous rings in the domain r = 5 ∼ 25 mm and an outer homogenous plate

Summary

Introduction

It is found that the experimental results are consistent with the theoretical results, and both of them indicate that the stress concentration around the hole reduces obviously in graded plates with radially increasing Young’s modulus, in comparison with that of perforated homogenous plates. The successful experiment in the paper provides a good basis and support for the establishment of theoretical models and promotes the in-depth development of the research field of stress concentration in functionally graded plates. The continuous change in microstructure of FGMs avoids the mismatch of material properties across the interface, and stress concentration can be effectively reduced compared with that existing at material interfaces [1,2]. A lot of research has been carried out on the problem of stress concentration around holes in FGM plates with radially varying elastic properties in the past 20 years. The other is rigorous theoretical analyses according to the linear elasticity theory

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Results

Conclusion