Normal contact performance of mortise and tenon joint: theoretical analysis and numerical simulation

Qifang Xie,Baozhuang Zhang,Tiantian Guo,Yajie Wu,Lipeng Zhang

doi:10.1186/s10086-021-01963-x

Abstract

This article aims to investigate the contact characteristics of mortise and tenon (M&T) joints in the traditional timber structures. In particular, the normal embedded compressive contact between contact surfaces of M&T joint was investigated. Based on basic contact theory and contact characteristics between mortise and tenon, a normal elasto-plastic contact model, which can reflect the real normal contact behavior of M&T joints in traditional wooden structures, was proposed. Coulomb friction contact was utilized to describe the tangential slipping characteristics of the contact surfaces. Micro-morphology scanning tests of wood samples with different roughness were carried out to determine the parameters involved in the normal contact model. The normal contact model subroutine of M&T joint was compiled by FORTRAN language, implemented into ABAQUS through user-defined interface (UINTER). Then the proposed model was verified by shear tests of wood contact surfaces considering different normal pressures. Finally, a finite element model (FEM) of straight tenon joint subjected to cyclic reversed loading, based on the proposed normal elasto-plastic contact model, was developed, and a FEM considering normal “hard contact” between the contact surfaces, was also performed. The simulation results were validated by the experimental results. Results showed that the user-defined normal elasto-plastic contact FEM was more in line with the actual force state and mechanical behavior of M&T joints, which can more accurately predict the failure modes and simulate the hysteretic behavior of M&T joints, compared to the FEM considering normal “hard contact” of the contact surfaces.

Highlights

Wooden structures have been widely used all over the world, notably in China, Korea, Japan, Canadian and USA, for the wide availability, low cost and ease of erection of wood [1,2,3]
This paper investigated the normal contact performance of mortise and tenon (M&T) joints in traditional timber structures, a normal elasto-plastic contact model of rough contact surfaces was proposed and derived
The normal contact model subroutine of M&T joints was compiled by FORTRAN, which can be implemented into ABAQUS through user-defined interface (UINTER) interface

Summary

Introduction

Wooden structures have been widely used all over the world, notably in China, Korea, Japan, Canadian and USA, for the wide availability, low cost and ease of erection of wood [1,2,3]. In China, mortise and tenon (M&T) joint is the typical connection type of the traditional timber structures, as shown, which has a significant effect on performance of structure [4,5,6,7,8,9]. The mechanical model of M&T joint subjected to moment and shear force is shown in Fig. 2 [10,11,12,13,14,15]. When the rotation angle further increases, the mortise and the tenon will produce the relative sliding because there is a certain gap between M&T joint, Xie et al J Wood Sci (2021) 67:31

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