Hi Sankar, based on my knowledge, inter-granular fracture is one which is caused by the crack which follows the grain boundaries, which means the crack is restricted to one particular grain e.g stress cracking ; however trans-granular fracture is caused by crack which does not follow grain boundaries and hence transcends from one grain to another grain e.g fatigue crack..
I agree with Arvind. Intergranular fracture: crack follows the grain boundaries whereas, transgranular it passes from one to another.
I would like to add a discussion about how hydrogen change the fracture mode: Generally in high-Mn steels hydrogen changes the fracture mode from intergranular to quasi-cleavage.
Generally at higher T grain boundary weak-intergranular fracture. e.g.-Creep- required less Grain boundary hence coarse or single grain is preffered .However, at lower T grains are weak, fracture across the grain.
equicohesive Temperature- transition temperature @ TF become IF