| Formula Home | |
 |
Fracture Mechanics |
 |
Introduction |
|
Ranges of Applicability |
|
Linear Elastic Fracture Mechanics |
|
Fracture Modes |
|
Stress Intensity Fac. |
|
Elastic Plastic Fracture Mechanics |
|
The J Integral |
|
Introduction to J Integral |
|
Determination of J |
|
CTOD |
|
Resources |
|
Bibliography |
| Definition of J Integral |
 |
|
Consider a nonlinear elastic body containing a crack,  the J integral is defined as  where Rice, J. R., 1968, showed that the J integral is a path-independent line integral and it represents the strain energy release rate of nonlinear elastic materials:  where The dimension of J is  |
J vs.  and K |
|
|
For linear elastic materials, the J integral J is in fact the strain energy release rate,  |
Optimize your designs, reduce machining time, and lower your costs.
Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.
Guide for high quality and cost-effective plastic injection molding.
Guide for those interested in becoming a mechanical engineer. Includes qualifications, pay, and job duties.
is the strain energy density, 
is the traction vector, 
is an arbitrary contour around the tip of the crack, n is the unit vector normal to 
, 
, and u are the stress, strain, and displacement field, respectively.
is the potential energy, the strain energy U stored in the body minus the work W done by external forces and A is the crack area.