TY - JOUR
T1 - BEM-based second-order imperfect interface modeling of potential problems with thin layers
AU - Han, Zhilin
AU - Mogilevskaya, Sofia G.
AU - Baranova, Svetlana
AU - Schillinger, Dominik
N1 - Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/11
Y1 - 2021/11
N2 - This paper describes a boundary-element-based approach for the modeling and solution of potential problems that involve thin layers of varying curvature. On the modeling side, we consider two types of imperfect interface models that replace a perfectly bonded thin layer by a zero-thickness imperfect interface across which the field variables undergo jumps. The corresponding jump conditions are expressed via second-order surface differential operators. To quantify their accuracy with respect to the fully resolved thin layer, we use boundary element techniques, which we develop for both the imperfect interface models and the fully resolved thin layer model. Our techniques are based on the use of Green's representation formulae and isoparametric approximations that allow for accurate representation of curvilinear geometry and second order derivatives in the jump conditions. We discuss details of the techniques with special emphasis on the evaluation of nearly singular integrals, validating them via available analytical solutions. We finally compare the two interface models using the layer problem as a benchmark.
AB - This paper describes a boundary-element-based approach for the modeling and solution of potential problems that involve thin layers of varying curvature. On the modeling side, we consider two types of imperfect interface models that replace a perfectly bonded thin layer by a zero-thickness imperfect interface across which the field variables undergo jumps. The corresponding jump conditions are expressed via second-order surface differential operators. To quantify their accuracy with respect to the fully resolved thin layer, we use boundary element techniques, which we develop for both the imperfect interface models and the fully resolved thin layer model. Our techniques are based on the use of Green's representation formulae and isoparametric approximations that allow for accurate representation of curvilinear geometry and second order derivatives in the jump conditions. We discuss details of the techniques with special emphasis on the evaluation of nearly singular integrals, validating them via available analytical solutions. We finally compare the two interface models using the layer problem as a benchmark.
KW - Boundary Element Method
KW - Nearly singular integrals
KW - Potential problems
KW - Second-order imperfect interface models
KW - Thin layers
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U2 - 10.1016/j.ijsolstr.2021.111155
DO - 10.1016/j.ijsolstr.2021.111155
M3 - Article
AN - SCOPUS:85111040183
SN - 0020-7683
VL - 230-231
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
M1 - 111155
ER -