Graphene oxide(GO)has proven to be an effective reinfor-cing filler for rubber[1].GO has superior mechanical properties,barrier properties,large specific surface area and abundant oxygen-containing functional groups[2...Graphene oxide(GO)has proven to be an effective reinfor-cing filler for rubber[1].GO has superior mechanical properties,barrier properties,large specific surface area and abundant oxygen-containing functional groups[2].However,the change in the oxidation degree of GO has a great effect on its chemical properties,the interaction between GO and the matrix,and the dispersion uniformity in the rubber matrix,which has a great effect on the reinforcement of rubber[3].展开更多
With the help of discrete singular operator S this paper deals with the discretization of the equationsWe divide interval [a , b] into 2N parts: [t<sub>i</sub>, t<sub>i+1</sub>], with i=1 ,2 ,...With the help of discrete singular operator S this paper deals with the discretization of the equationsWe divide interval [a , b] into 2N parts: [t<sub>i</sub>, t<sub>i+1</sub>], with i=1 ,2 ,… ,2N, where t<sub>1</sub> =a, t<sub>2N+1</sub>=b,t<sub>i+1</sub>-t<sub>i</sub>=（b-a）/2N=h<sub>N</sub>, i=1,2,…,2N.From [1], linear operator S（N）: E<sub>2N-3</sub>→E<sub>2v-3</sub>, for all Z=(z<sub>3</sub>,z<sub>4</sub>…,z<sub>2N-1</sub>)∈E<sub>2n-3</sub>,S<sup>N</sup>Z=(S<sub>2</sub><sup>N</sup>Z,S<sub>4</sub><sup>N</sup>Z,…,S<sub>（2N-1）<sup>N</sup></sub> Z), there will展开更多
基金Supported by Shanghai Aerospace Science and Technology Innovation Fund Project (SAST 2022-097)。
文摘Graphene oxide(GO)has proven to be an effective reinfor-cing filler for rubber[1].GO has superior mechanical properties,barrier properties,large specific surface area and abundant oxygen-containing functional groups[2].However,the change in the oxidation degree of GO has a great effect on its chemical properties,the interaction between GO and the matrix,and the dispersion uniformity in the rubber matrix,which has a great effect on the reinforcement of rubber[3].
文摘With the help of discrete singular operator S this paper deals with the discretization of the equationsWe divide interval [a , b] into 2N parts: [t<sub>i</sub>, t<sub>i+1</sub>], with i=1 ,2 ,… ,2N, where t<sub>1</sub> =a, t<sub>2N+1</sub>=b,t<sub>i+1</sub>-t<sub>i</sub>=（b-a）/2N=h<sub>N</sub>, i=1,2,…,2N.From [1], linear operator S（N）: E<sub>2N-3</sub>→E<sub>2v-3</sub>, for all Z=(z<sub>3</sub>,z<sub>4</sub>…,z<sub>2N-1</sub>)∈E<sub>2n-3</sub>,S<sup>N</sup>Z=(S<sub>2</sub><sup>N</sup>Z,S<sub>4</sub><sup>N</sup>Z,…,S<sub>（2N-1）<sup>N</sup></sub> Z), there will
