CONWEP blast loading pressures

This problem contains basic test cases for one or more Abaqus elements and features.

The following topics are discussed:

ProductsAbaqus/Explicit

Elements tested

  • C3D4
  • C3D6
  • C3D8
  • C3D10M
  • S3R
  • S4RS

Features tested

Incident, reflected, and total pressures of the CONWEP model.

Problem description

Pressure output from the CONWEP blast loading model is verified in this set of tests. In each test all degrees of freedom of the loading surface are constrained, and the pressure is obtained by summing the reaction forces at all the nodes on the surface and dividing the sum by the surface area.

The pressure calculated from the reaction forces corresponds to the total pressure, which is a function of the incident pressure, the reflected pressure, and the incident angle. The total pressure corresponds to the incident pressure and the reflected pressure when the loading surface is given at incident angles of 180° and 0°, respectively. The variation of the incident and reflected pressures with range is verified in the range tests, in which loading surfaces at incident angles of 180° and 0° are placed at various distances from the source. The variation of the total pressure with the incident angle is verified in the angle test, in which multiple loading surfaces located at the same distance from the source are given at different incident angles.

Unit conversion is verified in the unit conversion tests, in which non-SI mass units (for the charge) and analysis units are used. Units of ton-mm-sec-MPa and lb-ft-sec-psf are considered in the tests.

For shell elements CONWEP blast loading pressure can be applied to both the SPOS and SNEG faces of the elements. Double-sided loading is verified in the test in which doubled-sided loading surfaces are orientated at incident angles of 0°, 90°, 180°, and 270°.

Results and discussion

The history of the incident and reflected pressures at various distances from the source can be computed from the following quantities: maximum incident and reflected pressures, arrival time, positive phase duration, and decay coefficients. For the purpose of verification these quantities are calculated independently for each of the range tests using empirical formulas of the CONWEP model given in Appendix A of Randers-Pehrson and Bannister (1997). The results from the range tests match the results from independent calculations exactly in all cases.

For the angle test the results of the maximum total pressure at various incident angles satisfy the equations for the total pressure given as a function of the incident pressure, the reflected pressure, and the incident angle in Acoustic and shock loads.

For the unit conversion tests the results of the incident and reflected pressures, when converted to SI units, are identical to the results from a similar test that uses SI units.

For the double-sided loading test zero total pressure is obtained for the surfaces with incident angles 90° and 270°. This result is correct since, in both orientations, the pressure on the SPOS and SNEG faces is equal to the incident pressure but the pressure loads act in the opposite directions. The total pressure for the surfaces with incident angles of 0° and 180° is equal in magnitude but opposite in sign. This result is correct since, in both orientations, the pressure is equal to the difference between the reflected pressure and the incident pressure and the pressure loads act in the opposite directions.

Input files

Element tests

airblast_c3d4_pressures.inp

Air blast, C3D4 elements, range R, angles 0° and 180°.

airblast_c3d6_pressures.inp

Air blast, C3D6 elements, range R, angles 0° and 180°.

airblast_c3d8_pressures.inp

Air blast, C3D8 elements, range R, angles 0° and 180°.

airblast_c3d10m_pressures.inp

Air blast, C3D10M elements, range R, angles 0° and 180°.

Range tests

airblast_s3r_pressures.inp

Air blast, S3R elements, range R, angles 0° and 180°.

airblast_s4rs_pressures.inp

Air blast, S4RS elements, range R, angles 0° and 180°.

airblast_s4rs_2R.inp

Air blast, S4RS elements, range 2R, angles 0° and 180°.

airblast_s4rs_4R.inp

Air blast, S4RS elements, range 4R, angles 0° and 180°.

airblast_s4rs_8R.inp

Air blast, S4RS elements, range 8R, angles 0° and 180°.

airblast_s4rs_16R.inp

Air blast, S4RS elements, range 16R, angles 0° and 180°.

surfaceblast_s4rs_R.inp

Surface blast, S4RS elements, range R, angles 0° and 180°.

surfaceblast_s4rs_2R.inp

Surface blast, S4RS elements, range 2R, angles 0° and 180°.

surfaceblast_s4rs_4R.inp

Surface blast, S4RS elements, range 4R, angles 0° and 180°.

surfaceblast_s4rs_8R.inp

Surface blast, S4RS elements, range 8R, angles 0° and 180°.

surfaceblast_s4rs_16R.inp

Surface blast, S4RS elements, range 16R, angles 0° and 180°.

Angle test

airblast_s4rs_angle.inp

Air blast, S4RS elements, range R, angles 0° to 330° in increments of 30°.

Unit conversion tests

airblast_s4rs_ton_mm_mpa.inp

Air blast, S4RS elements, range R, angles 0° and 180°, units in tons, mm, sec, and MPa.

airblast_s4rs_lb_ft_psf.inp

Air blast, S4RS elements, range R, angles 0° and 180°, units in lb, ft, sec, and psf.

Double-sided loading test

airblast_s4rs_dble_side.inp

Air blast, S4RS elements, range R, angles 0°, 90°, 180°, and 270°, double-sided loading.

References

  1. Randers-Pehrson G. and KBannister, Airblast Loading Model for DYNA2D and DYNA3D, Army Research Laboratory, ARL-TR-1310, March 1997.