Description
High free-edge interfacial stresses at the ends of adherends are responsible for the debonding failure of bonded and adhesively bonded joints. This study aims at formulation of a general stress-function variational method for efficient, accurate determination of the interfacial stresses in these joints subjected to mechanical or thermomechanical loads. Two unknown interfacial shear and normal (peeling) stress functions are introduced at each interface of the joints; the stress field in the adherends and adhesive layer of the joints are expressed in terms of the interfacial stress functions. A set of ordinary differential equations of the unknown interfacial stress functions is obtained via minimizing the complimentary strain energy of the joints and solved by means of the eigenfunction method. The gained stress field can satisfy all the traction boundary conditions, especially the shear-free conditions at the ends of the adherends and adhesive layer. The stress-field results obtained by the present method are validated by using finite element method. It shows that the stress-function variational method is capable of efficiently predicting the stress-field in bonded and adhesively bonded joints in high accuracy. Parameter study is further performed to examine the dependencies of the interfacial stresses upon the geometries, moduli, and temperature of the adherends and adhesive layer, respectively. This method can be extended for stress analysis of a variety of three--layered bonded and adhesively bonded joints, scaling analysis of joint strength, and validation of other analytic and numerical methods used for joint stress analysis and design. In addition, the present method can be further extended for high-efficiency, reliable stress analysis of adhesively bonded composite and multimaterial joints.
Recommended Citation
Wu, X. (2014). Stress-function variational method for interfacial stress analysis of bonded and adhesively bonded joints subjected to mechanical and thermomechanical loads. In A. Bajaj, P. Zavattieri, M. Koslowski, & T. Siegmund (Eds.). Proceedings of the Society of Engineering Science 51st Annual Technical Meeting, October 1-3, 2014 , West Lafayette: Purdue University Libraries Scholarly Publishing Services, 2014. https://docs.lib.purdue.edu/ses2014/mss/mtfmm/34
Stress-function variational method for interfacial stress analysis of bonded and adhesively bonded joints subjected to mechanical and thermomechanical loads
High free-edge interfacial stresses at the ends of adherends are responsible for the debonding failure of bonded and adhesively bonded joints. This study aims at formulation of a general stress-function variational method for efficient, accurate determination of the interfacial stresses in these joints subjected to mechanical or thermomechanical loads. Two unknown interfacial shear and normal (peeling) stress functions are introduced at each interface of the joints; the stress field in the adherends and adhesive layer of the joints are expressed in terms of the interfacial stress functions. A set of ordinary differential equations of the unknown interfacial stress functions is obtained via minimizing the complimentary strain energy of the joints and solved by means of the eigenfunction method. The gained stress field can satisfy all the traction boundary conditions, especially the shear-free conditions at the ends of the adherends and adhesive layer. The stress-field results obtained by the present method are validated by using finite element method. It shows that the stress-function variational method is capable of efficiently predicting the stress-field in bonded and adhesively bonded joints in high accuracy. Parameter study is further performed to examine the dependencies of the interfacial stresses upon the geometries, moduli, and temperature of the adherends and adhesive layer, respectively. This method can be extended for stress analysis of a variety of three--layered bonded and adhesively bonded joints, scaling analysis of joint strength, and validation of other analytic and numerical methods used for joint stress analysis and design. In addition, the present method can be further extended for high-efficiency, reliable stress analysis of adhesively bonded composite and multimaterial joints.