Polyzos, D.; Stamos, A. A.; Beskos, D. E. BEM computation of DSIF in cracked viscoelastic plates. (English) Zbl 0789.73079 Commun. Numer. Methods Eng. 10, No. 1, 81-87 (1994). Summary: Dynamic stress intensity factors of cracked linear viscoelastic solids under conditions of plane stress are computed by the boundary element method in conjunction with the numerical Laplace transform and the correspondence principle of linear viscoelasticity. Quadratic isoparametric conventional and quarter-point boundary elements are employed. The multidomain approach is used in cases where symmetry cannot be invoked. Dynamic stress intensity factors are computed for cracked viscoelastic rectangular plates subjected to suddenly applied loads, and comparisons are made against results obtained by other numerical methods. Cited in 1 Document MSC: 74S15 Boundary element methods applied to problems in solid mechanics 74R99 Fracture and damage 74K20 Plates 74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) Keywords:plane stress; numerical Laplace transform; linear viscoelasticity; quarter-point boundary elements; multidomain approach; rectangular plates PDFBibTeX XMLCite \textit{D. Polyzos} et al., Commun. Numer. Methods Eng. 10, No. 1, 81--87 (1994; Zbl 0789.73079) Full Text: DOI References: [1] D. E. Beskos Numerical methods in dynamic fracture mechanics 1987 [2] Aoki, Dynamic analysis of cracked linear viscoelastic solids by finite element method using singular element, Int. J. Fract. 16 pp 97– (1980) · doi:10.1007/BF00012615 [3] Sun, Theory and Applications of Boundary Element Methods pp 143– (1987) [4] Manolis, Boundary Element Methods in Elastodynamics (1988) [5] Georgiadis, Plane impact of a cracked viscoelastic body, Int. J. Eng. Sci. 29 pp 171– (1991) · Zbl 0825.73113 · doi:10.1016/0020-7225(91)90013-S [6] Christensen, Theory of Viscoelasticity (1971) [7] Martinez, On the use of quarter-point boundary elements for stress intensity factor computations, Int. j. numer. methods eng. 20 pp 1941– (1984) · Zbl 0539.73123 · doi:10.1002/nme.1620201013 [8] Chen, Numerical computation of dynamic stress intensity factor by Lagrangian finite difference method, Eng. Fract. Mech. 7 pp 653– (1975) · doi:10.1016/0013-7944(75)90021-1 [9] Murti, The use of quarter point element in dynamic crack analysis, Eng. Fract. Mech. 23 pp 585– (1986) · doi:10.1016/0013-7944(86)90164-5 [10] Toi, Dynamic Fracture Mechanics for the 1990’s pp 157– (1989) [11] Dominguez, Time domain boundary element method for dynamic stress intensity factor computations, Int. j. numer. methods eng. 33 pp 635– (1992) · Zbl 0825.73906 · doi:10.1002/nme.1620330309 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.