by Guest » Wed Dec 07, 2011 2:15 am
Thank you...
Pls find below the description of the problem in mathematical format:
Suppose that I have three circles:
Circle 1: {95,0}, radius: 105
Circle2: {350,0}, radius: 170
Circle3: {700,0}, radius: 230
in Rock Mechanics, those circles represent states of stresses at various points and various conditions, and we know that the ENVELOP to those circles constitute what we call Mohr Envelop (a Curve that is most probable a Hyperbola, and that is Tangent to ALL circles)
So the problem is: how to find mathematically the equation of that Envelop (hyperbola that is tangent to all three circles)...
Thank you in advance
Yasser
Thank you...
Pls find below the description of the problem in mathematical format:
Suppose that I have three circles:
Circle 1: {95,0}, radius: 105
Circle2: {350,0}, radius: 170
Circle3: {700,0}, radius: 230
in Rock Mechanics, those circles represent states of stresses at various points and various conditions, and we know that the ENVELOP to those circles constitute what we call Mohr Envelop (a Curve that is most probable a Hyperbola, and that is Tangent to ALL circles)
So the problem is: how to find mathematically the equation of that Envelop (hyperbola that is tangent to all three circles)...
Thank you in advance
Yasser