More generally, those who study crime should avoid talking of their field as a singular discipline and think of it as a multidisciplinary endeavor.
In the elastic-matrix composites, a unique elastic singular field is created on the complete damage zone in the vicinity of a crack-tip in addition to the conventional elastic singular field on the no damage zone.
Although its unprecedentedly success in approximating the singular field around a crack tip independent of mesh discretization, XFEM still has been long hindered in engineering applications by its ill conditioning and the difficulty in mass lumping corresponding to extra dofs.
It is shown that the more singular field (i.e. the λ1-singularity) prevails in an exceedingly small zone, smaller than 10−6 times the die thickness.
It is found that stresses at the end of interface tend to infinity, which indicates that a singular stress field exists around the end of the interface.
According to the theroretical analysis, a singular stress field exists around the end of the interface between the adhesive and the adherends.
The interlaminar shear stress is also accompanied by a singular stress field of the transverse normal (peel) stress near the edge.
The seminal work of Hudson and Parthasarathy [1] on quantum stochastic evolutions lead to explicit constructions of unitary adapted quantum stochastic processes V describing the open dynamical evolution of a system with a singular Boson field environment.
Stress values at the end of the interface are related to the elment sizes, but it can be found that stresses at the end of the interface tend to infinity with the element sizes in this paper, which indicates that a singular stress field exists at the end of the interface.
The stress values at the end of the interface are related to element sizes, but Figure 5 indicates that the stresses around the end of the interface tend to infinity with the element sizes in this paper, which means that a singular stress field exists around the end of the interface.
