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Sir I am a beginner learner in Fracture mechanics. Whatever may be the answer at-least i will get the direction of answer from your comments. Please provide answers.

1- suppose I want to arrest the crack in mode-1 loading then crack surface is no more traction free. In this case j- integral will give path independent result or it depends on path or j concept is not applicable?
2- what will happen when the same scenario applied on mixed mode loading?
3- if from crack tip multiple cracks originates simultaneously then how j-integral concept will be applied there to find the energy release rate for individual cracks?
4- during mixed mode loading once the crack initiation starts it will move at a certain angle. Is this angle Will change during its fracture path or it remains constant?

Thank u sir for your reply
but in question no 2 the path independent of j-integral in mixed mode loading, could you please mention where I can find the derivation in detail?

Hi professor thanks a lot for your videos I learn something in plasticity hope you will provide some videos like how to implement UDF in abaqus and more videos on continuum mechanics.

Questions
1- what is the physical meaning of stress intensity factor value to be Zero or negative in a centre crack under compression loading or it is not possible to get -ve SIF?
2-in a mixed mode case is j-integral is Path independent?
3- EPFM is applicable to nonlinear material behaviour case but as   the process zone is nonlinear then how superposition principle is applicable to this EPFM plastic models like dugdale.. others?

hello, professor sir, I found your experimental video from your channel. Your explanations are awesome and very precise. I have a query on the tension test experiment.

I have a 2mm thickness sheet. I want to find the Poisson's ratio and youngs modulus through experiment. I am following the standard Flat test specimen size as per ASTM  test standard DESIGNATION-E8/E8M. As per standard prescribed thickness range lies within (0.005 ≤ T ≤ 0.75) in. So is there any variation in results if I select a minimum thickness and also variation in the result if I select multiple samples. If variation exists on results then how much variation?

1- suppose I want to carry out any fracture experiment in any material then it can be modelled by lEFM/EPFM. Is there any strength related perticular parameter that distinguish both of them prior to experiment?

2. The asymptotic solution at crack tip gives singularity near that point then what happened to the solution when higher order terms included in the solution?
3.we want to extend LEFM concepts to rock like material then what is the effect of these higher order terms in finding fracture parameters?