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A meshless analysis of shells based on moving Kriging interpolation. (English) Zbl 1257.74182

Summary: An element free Galerkin method (EFGM) for the analysis of degenerated shell structures is presented. The method is based on the moving Kriging (MK) Interpolation function. The properties of the interpolation function possess the Kronecker delta property. With the MK Interpolation function no additional treatment required at the boundary conditions compared with that of using moving least square (MLS) approximation. This deficiency of MLS at boundary condition has been definitely eradicated. The membrane and shear locking in the numerical analysis for degenerated shell problems has been alleviated by using higher order and removed by using quartic order of polynomials. Numerical benchmark examples for shell structures are presented to validate the proposed approach.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74K25 Shells
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[1] DOI: 10.1016/0045-7825(85)90035-0 · Zbl 0581.73091 · doi:10.1016/0045-7825(85)90035-0
[2] Belytschko T., Int. J. Numer. Meth. Eng. 37 pp 299–
[3] DOI: 10.1007/s00466-003-0462-z · Zbl 1035.74059 · doi:10.1007/s00466-003-0462-z
[4] DOI: 10.1002/nme.553 · Zbl 1062.74652 · doi:10.1002/nme.553
[5] DOI: 10.1002/(SICI)1097-0207(19970830)40:16<2953::AID-NME201>3.0.CO;2-S · Zbl 0895.73079 · doi:10.1002/(SICI)1097-0207(19970830)40:16<2953::AID-NME201>3.0.CO;2-S
[6] DOI: 10.1002/nme.1620140204 · Zbl 0394.73072 · doi:10.1002/nme.1620140204
[7] DOI: 10.1002/nme.223 · Zbl 1128.74347 · doi:10.1002/nme.223
[8] Krongauz Y., Comput. Meth. Appl. Mech. Eng. 133 pp 133–
[9] DOI: 10.1016/0020-7683(95)00265-0 · Zbl 0929.74126 · doi:10.1016/0020-7683(95)00265-0
[10] DOI: 10.1007/s004660050463 · Zbl 0978.74087 · doi:10.1007/s004660050463
[11] DOI: 10.1201/9781420040586 · doi:10.1201/9781420040586
[12] DOI: 10.1007/s004660050175 · Zbl 0884.65105 · doi:10.1007/s004660050175
[13] DOI: 10.1002/(SICI)1097-0207(20000228)47:6<1215::AID-NME834>3.0.CO;2-M · Zbl 0970.74079 · doi:10.1002/(SICI)1097-0207(20000228)47:6<1215::AID-NME834>3.0.CO;2-M
[14] DOI: 10.1142/S0219876205000594 · Zbl 1137.74306 · doi:10.1142/S0219876205000594
[15] DOI: 10.1016/0045-7825(89)90098-4 · Zbl 0724.73138 · doi:10.1016/0045-7825(89)90098-4
[16] DOI: 10.1142/S0219876204000162 · Zbl 1179.74182 · doi:10.1142/S0219876204000162
[17] DOI: 10.1002/nme.489 · Zbl 1098.74741 · doi:10.1002/nme.489
[18] DOI: 10.1007/s004660050296 · Zbl 0947.74080 · doi:10.1007/s004660050296
[19] Zienkiewicz O. C., Physics Series 2, in: The Finite Element Method: Solid and Fluid Mechanics Dynamics and Non-Linearity (1991)
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