Strong form meshfree collocation method for frictional contact between a rigid pile and an elastic foundation

被引：11

作者：

Almasi, Ashkan ^{[1
]}

Kim, Tae-Yeon ^{[2
]}

Song, Jeong-Hoon ^{[1
]}

机构：

[1] Univ Colorado, Dept Civil Environm & Architectural Engn, Boulder, CO 80309 USA

[2] Khalifa Univ Sci & Technol, Civil Infrastruct & Environm Engn, Abu Dhabi 127788, U Arab Emirates

来源：

ENGINEERING WITH COMPUTERS | 2023年 / 39卷 / 01期

关键词：

Strong form; Meshfree; Point collocation; Frictional contact; Signorini problem; PARTICLE DIFFERENCE METHOD; KERNEL HIERARCHICAL PARTITION; STRONG DISCONTINUITY PROBLEMS; FINITE-ELEMENT SOLUTION; ISOGEOMETRIC COLLOCATION; FORMULATION; APPROXIMATION; UNITY; WEAK;

D O I：

10.1007/s00366-022-01673-y

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a strong form meshfree collocation method is developed for two-dimensional single-body frictional contact problems. In this approach, a point-wise Taylor series approximation and generalized moving least squares approach is used to construct numerical differential operators at discrete points within the domain. The differential operators are then used to spatially discretize and solve the governing partial differential equations. Contact constraint conditions are formulated with the penalty approach. To demonstrate the efficiency of the method, benchmark problems in frictionless and frictional contact relevant to a rigid pile and an elastic foundation contact are provided. The numerical results are also compared with the finite element solutions to verify robustness and accuracy of the method.

引用

页码：791 / 807

页数：17

共 51 条

[1] A strong form meshfree collocation method for frictional contact on a rigid obstacle [J].

Almas, Ashkan ;

Kim, Tae-Yeon ;

Laursen, Tod A. ;

Song, Jeong-Hoon .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 357

[2] Strong-Form Collocation Method for Solidification and Mechanical Analysis of Polycrystalline Materials [J].

Almasi, Ashkan ;

Beel, Andrew ;

Kim, Tae-Yeon ;

Michopoulos, John G. ;

Song, Jeong-Hoon .

JOURNAL OF ENGINEERING MECHANICS, 2019, 145 (10)

[3] Strong form-based meshfree collocation method for wind-driven ocean circulation [J].

Beel, Andrew ;

Kim, Tae-Yeon ;

Jiang, Wen ;

Song, Jeong-Hoon .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 351 :404-421

[4] The mortar finite element method for contact problems [J].

Belgacem, FB ;

Hild, P ;

Laborde, P .

MATHEMATICAL AND COMPUTER MODELLING, 1998, 28 (4-8) :263-271

[5] RESOLUTION OF 4TH-ORDER PROBLEMS BY THE MORTAR ELEMENT METHOD [J].

BELHACHMI, Z ;

BERNARDI, C .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 116 (1-4) :53-58

[6] ELEMENT-FREE GALERKIN METHODS [J].

BELYTSCHKO, T ;

LU, YY ;

GU, L .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256

[7] Approximation of the unilateral contact problem by the mortar finite element method [J].

BenBelgacem, F ;

Hild, P ;

Laborde, P .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (01) :123-127

[8] A SPECTRAL ELEMENT METHODOLOGY TUNED TO PARALLEL IMPLEMENTATIONS [J].

BENBELGACEM, F ;

MADAY, Y .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 116 (1-4) :59-67

[9] A SINGLE SURFACE-CONTACT ALGORITHM FOR THE POST-BUCKLING ANALYSIS OF SHELL STRUCTURES [J].

BENSON, DJ ;

HALLQUIST, JO .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 78 (02) :141-163

[10]

BERNARDI C, 1993, ASYMPTOT NUMER METHO, DOI DOI 10.1007/978-94-011-1810-1_17

← 1 2 3 4 5 6 →