摘要
提出了两点张量的一种新抽象记法,它是文献[1]的两点张量抽象符号法的推广.由于该记法不但可以区别张量的基矢量是属于参考构形的还是属于现时构形的,而且还可以区别其基矢量是协变基矢量还是逆变基矢量,因而可以从张量的抽象记法表达式直接写出其分量记法表达式.使得这一记法可以兼有张量抽象记法和分量记法的优点,这一记法在非线性连续介质力学中有着重要应用.
A new abstact notation of two-point tensor is proposed, which is a generalization of Guo's notation. By means of this notation, not only the base vectors, which are referred to the reference configuration of the current configuration can be distinguished, but also the base vectors, which are covariant of contravariant can be distinguished. Thus, we may directly write down the component expressions for the tensor equations in new abstract notation. This new two-point tensor notation has the advantage of both the abstract notation and the component notation. By means of this new abstract two-point tensor notation, some new relations in nonlinear continuum mechanics can be deduced.
出处
《晓庄学院自然科学学报》
EI
CAS
北大核心
2003年第2期41-43,共3页
Journal of Natural Science of Hunan Normal University
基金
国家自然科学基金资助项目(19772045)
