You may use Boundary Element Method as well. Of course, it depends on if you are dealing with Linear fracture mechanics or not. If the problem is nonlinear, then Finite Element would be more of use.

I think 3D finite element analysis is very useful method for calculating stresses in a laminated plate for dealing with both linear fracture mechanics and non linearity. It is key to build a correct 3D model for finite element analysis and numerical simulation.

Thank you

Dear jsk fracture mechanics for laminated plates are spesified by classical lamination theory and the modes of failure of these mateials (composite ,gfrp,cfpr,)are diffrent from metals as laminated materials considered orthotropic and metals consider isotropic so i suggest to use the book (fracture and fatigue control in structures)by rolfe&barsom prentice-hall, inc,englewood cliffs,new jersy 1977.and if your intrest in composite materials pls contact me

thank you mr.khaled can you suggest me whether i need to go for fracture or stop by calculating stresses using FEM

It is called progressive failure analysis. The analysis shows totally non-linear loading carrying path. Nowadays,most of commercial FE codes adopt the analysis. Think about the progressive failure analysis in composite laminates.

Nilanjan das chakladar said it depends what kind of analysis you are acrrying and what you are trying to obtain, besides if it is a linear elastic fracture mechanicas case, i think you could use finite element analysis for first approach, and compare the results with experimental data if you have such information, otherway if you are dealing with elasto plastic fracture mechanics the finite model may be a lot more complicated and still to assure the simulation results you need experimental data, and in this case acquire experimental data is a lot more expensive.