Surface/interface effect and size/configuration dependence on the energy release in nanoporous membrane

This paper deals with the surface/interface effect and the size/configuration dependence on the M-integral representing the energy release due to the self-similar expansion of multiple nanosized pores in nanoporous membrane. An explicit formulation of the M-integral is derived by considering the surface/interface effect induced from the residual surface tension and the surface Lamé constants based on the Gurtin-Murdoch surface model. It is concluded that the surface/interface effect on the energy release is primarily determined by the surface tension, whereas the surface Lamé constants yield much less influence than the surface tension. Moreover, the energy release significantly relies on the size and configuration of nanopores in nanoporous membrane, which even yields the energy absorption depending on the loading level especially when the pore size is less 20 nm. The two-state M-integral analysis is performed to clarify the mutual effects of surface/interface and size/configuration on the M-integral to explain the energy release or absorption in nanoporous membrane.