This paper proposes a straightforward and concise approach to analyze the Saint-Venant’s torsion of a circular shaft containing multiple elliptical inclusions or cracks based on the complex variable method.The comple...This paper proposes a straightforward and concise approach to analyze the Saint-Venant’s torsion of a circular shaft containing multiple elliptical inclusions or cracks based on the complex variable method.The complex potentials are first derived for the shaft with N elliptical inclusions by introducing Faber series expansion,and then the shear stresses and torsional rigidity are calculated.When the inclusions degenerate into cracks,the solutions for the intensity factors of stress are obtained.Finally,several numerical examples are carried out to discuss the effects of geometry parameters,different shear modulus ratios and array-types of the elliptical inclusions/cracks on the fields of stresses.The obtained results show that the proposed approach has advantages such as high accuracy and good convergence.展开更多
A three-dimensional finite element analysis of process-induced residual stress in resin transfer molding (RTM) process is presented. The finite element method (FEM) was employed to solve the coupled equations involved...A three-dimensional finite element analysis of process-induced residual stress in resin transfer molding (RTM) process is presented. The finite element method (FEM) was employed to solve the coupled equations involved in the transient heat transfer and the cure kinetics of the resin, and the distributions of internal temperature and cure degree of the composite at any instant time were obtained. The self-consistent field micro-mechanics model was used to predict the cure-dependent mechanical properties of the composites. Thermal expansion and cure shrinkage were included in the analysis. The thermo-elastic mechanical governing equations were solved using the incremental stress-strain relationship based FEM and the residual stress development was predicted. The present results were validated by the comparisons with the pertinent literature. The numerical example of a half cylinder was presented. The results show that it is necessary to carry out the three-dimensional analysis due to the complex distributions of temperatures, cure degrees and process-induced stress for thick parts, which can be predicted at any point within composite structures in the present analysis.展开更多
基金supported by the National Natural Science Fund of China (No. 11802040)the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(No.18KJB130001)
文摘This paper proposes a straightforward and concise approach to analyze the Saint-Venant’s torsion of a circular shaft containing multiple elliptical inclusions or cracks based on the complex variable method.The complex potentials are first derived for the shaft with N elliptical inclusions by introducing Faber series expansion,and then the shear stresses and torsional rigidity are calculated.When the inclusions degenerate into cracks,the solutions for the intensity factors of stress are obtained.Finally,several numerical examples are carried out to discuss the effects of geometry parameters,different shear modulus ratios and array-types of the elliptical inclusions/cracks on the fields of stresses.The obtained results show that the proposed approach has advantages such as high accuracy and good convergence.
基金the National Natural Science Foundation of China(Grant No.10502016)Development Program for Outstanding Young Teachers in Harbin Institute of Technology(Grant No.HITQNJS.2006.020)
文摘A three-dimensional finite element analysis of process-induced residual stress in resin transfer molding (RTM) process is presented. The finite element method (FEM) was employed to solve the coupled equations involved in the transient heat transfer and the cure kinetics of the resin, and the distributions of internal temperature and cure degree of the composite at any instant time were obtained. The self-consistent field micro-mechanics model was used to predict the cure-dependent mechanical properties of the composites. Thermal expansion and cure shrinkage were included in the analysis. The thermo-elastic mechanical governing equations were solved using the incremental stress-strain relationship based FEM and the residual stress development was predicted. The present results were validated by the comparisons with the pertinent literature. The numerical example of a half cylinder was presented. The results show that it is necessary to carry out the three-dimensional analysis due to the complex distributions of temperatures, cure degrees and process-induced stress for thick parts, which can be predicted at any point within composite structures in the present analysis.
