**T_field#

Description#

This boundary condition is used to impose, on a node set, the displacement field given by the linear solution at a crack tip for an applied T–field.

Under plane strain conditions, the displacement field is given by:

(46)#\[\begin{split}\begin{aligned} u_1 = \hphantom{-}T\frac{1-\nu^2}E R\cos\theta \\ u_2 = -T\frac{\nu(1-\nu)}E R\sin\theta \\\end{aligned}\end{split}\]

where \(\nu\) is the Poisson’s ratio, \(E\) the Young modulus.

Syntax#

The syntax is as follows:

**T_field nset center young poisson value [table]

nset

name of the NSET

center

crack tip position (2D vector)

poisson

Poisson coefficient (double)

young

Young module (double)

value

basic boundary condition value (double). This represents the basic value of \(T\).

table

table name

Example#

An example can be found in $Z7PATH/TESTS/Static_test/INP/Tfield_pe.inp.

***bc
 **impose_nodal_dof cpath U2 0.
 **T_field load  (0.,0.) 200000. 0.3 plane_strain 100. time