Houssein, Houssam; Garnotel, Simon; Hecht, Frédéric Regularized frictional contact problems with the interior point method. (English) Zbl 1517.74071 Japan J. Ind. Appl. Math. 40, No. 2, 775-807 (2023). MSC: 74M15 74M10 74P10 74S99 PDFBibTeX XMLCite \textit{H. Houssein} et al., Japan J. Ind. Appl. Math. 40, No. 2, 775--807 (2023; Zbl 1517.74071) Full Text: DOI
Wu, Shen R. Dynamic contact problem with moderate displacement and time-dependent normal. (English) Zbl 07821867 ZAMM, Z. Angew. Math. Mech. 102, No. 12, Article ID e202100451, 19 p. (2022). MSC: 74Mxx 74Hxx 74Sxx PDFBibTeX XMLCite \textit{S. R. Wu}, ZAMM, Z. Angew. Math. Mech. 102, No. 12, Article ID e202100451, 19 p. (2022; Zbl 07821867) Full Text: DOI
Ding, Rui; Shen, Quan; Huo, Yuebin The element-free Galerkin method for a quasistatic contact problem with the Tresca friction in elastic materials. (English) Zbl 07777689 Numer. Methods Partial Differ. Equations 37, No. 1, 69-97 (2021). MSC: 65M60 65M06 65N30 65K10 65M15 74M15 74B20 35A15 74S05 74S20 35R35 PDFBibTeX XMLCite \textit{R. Ding} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 69--97 (2021; Zbl 07777689) Full Text: DOI
Liu, Chuanqi; Sun, WaiChing ILS-MPM: an implicit level-set-based material point method for frictional particulate contact mechanics of deformable particles. (English) Zbl 1506.74220 Comput. Methods Appl. Mech. Eng. 369, Article ID 113168, 29 p. (2020). MSC: 74M10 70F40 PDFBibTeX XMLCite \textit{C. Liu} and \textit{W. Sun}, Comput. Methods Appl. Mech. Eng. 369, Article ID 113168, 29 p. (2020; Zbl 1506.74220) Full Text: DOI arXiv
Chaudet-Dumas, Bastien; Deteix, Jean Shape derivatives for the penalty formulation of elastic contact problems with Tresca friction. (English) Zbl 1454.35183 SIAM J. Control Optim. 58, No. 6, 3237-3261 (2020). MSC: 35J86 49J50 49Q10 74M10 74M15 74P15 PDFBibTeX XMLCite \textit{B. Chaudet-Dumas} and \textit{J. Deteix}, SIAM J. Control Optim. 58, No. 6, 3237--3261 (2020; Zbl 1454.35183) Full Text: DOI arXiv
Capała, Karol; Dybiec, Bartłomiej; Gudowska-Nowak, Ewa Nonlinear friction in underdamped anharmonic stochastic oscillators. (English) Zbl 1445.34056 Chaos 30, No. 7, 073140, 10 p. (2020). MSC: 34C15 34F05 34C60 PDFBibTeX XMLCite \textit{K. Capała} et al., Chaos 30, No. 7, 073140, 10 p. (2020; Zbl 1445.34056) Full Text: DOI arXiv
Shen, Quan; Ding, Rui; Wang, Yu Error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method. (English) Zbl 1443.74269 Appl. Math. Modelling 77, Part 1, 690-708 (2020). MSC: 74S05 65N15 65N30 74M15 PDFBibTeX XMLCite \textit{Q. Shen} et al., Appl. Math. Modelling 77, Part 1, 690--708 (2020; Zbl 1443.74269) Full Text: DOI
Dbouk, T.; Perales, F.; Babik, F.; Mozul, R. A DF-IBM/NSCD coupling framework to simulate immersed particle interactions. (English) Zbl 1439.74405 Comput. Methods Appl. Mech. Eng. 309, 610-624 (2016). MSC: 74S05 65M60 74E20 76T25 74-04 PDFBibTeX XMLCite \textit{T. Dbouk} et al., Comput. Methods Appl. Mech. Eng. 309, 610--624 (2016; Zbl 1439.74405) Full Text: DOI HAL
Oinonen, Ahti; Marquis, Gary A constitutive model for interface problems with frictional contact and cohesion. (English) Zbl 1406.74511 Eur. J. Mech., A, Solids 49, 205-213 (2015). MSC: 74M10 74C05 74M15 74S05 PDFBibTeX XMLCite \textit{A. Oinonen} and \textit{G. Marquis}, Eur. J. Mech., A, Solids 49, 205--213 (2015; Zbl 1406.74511) Full Text: DOI
Mukherjee, Debanjan; Zohdi, Tarek I. A discrete element based simulation framework to investigate particulate spray deposition processes. (English) Zbl 1349.76850 J. Comput. Phys. 290, 298-317 (2015). MSC: 76T10 65M75 82C22 PDFBibTeX XMLCite \textit{D. Mukherjee} and \textit{T. I. Zohdi}, J. Comput. Phys. 290, 298--317 (2015; Zbl 1349.76850) Full Text: DOI
Luege, Mariela; Orlando, Antonio; Sienz, Johann A finite strain contact model for mixed lubricated surfaces in forming processes. (English) Zbl 1427.74136 Appl. Math. Modelling 37, No. 24, 9985-10006 (2013). MSC: 74M15 74A55 74S05 PDFBibTeX XMLCite \textit{M. Luege} et al., Appl. Math. Modelling 37, No. 24, 9985--10006 (2013; Zbl 1427.74136) Full Text: DOI
Bonetti, Elena; Bonfanti, Giovanna; Rossi, Riccarda Analysis of a unilateral contact problem taking into account adhesion and friction. (English) Zbl 1308.35300 J. Differ. Equations 253, No. 2, 438-462 (2012). MSC: 35Q74 35A01 35J57 74M10 74M15 PDFBibTeX XMLCite \textit{E. Bonetti} et al., J. Differ. Equations 253, No. 2, 438--462 (2012; Zbl 1308.35300) Full Text: DOI
Danielson, Kent T.; O’Daniel, James L. Reliable second-order hexahedral elements for explicit methods in nonlinear solid dynamics. (English) Zbl 1217.74118 Int. J. Numer. Methods Eng. 85, No. 9, 1073-1102 (2011). MSC: 74S05 74H45 74M20 PDFBibTeX XMLCite \textit{K. T. Danielson} and \textit{J. L. O'Daniel}, Int. J. Numer. Methods Eng. 85, No. 9, 1073--1102 (2011; Zbl 1217.74118) Full Text: DOI
Zmitrowicz, Alfred Contact stresses: a short survey of models and methods of computations. (English) Zbl 1271.74364 Arch. Appl. Mech. 80, No. 12, 1407-1428 (2010). MSC: 74M15 74M10 74-02 PDFBibTeX XMLCite \textit{A. Zmitrowicz}, Arch. Appl. Mech. 80, No. 12, 1407--1428 (2010; Zbl 1271.74364) Full Text: DOI
Ahn, Young Ju Discontinuity of quasi-static solution in the two-node Coulomb frictional system. (English) Zbl 1196.74152 Int. J. Solids Struct. 47, No. 21, 2866-2871 (2010). MSC: 74M10 74H55 74H10 PDFBibTeX XMLCite \textit{Y. J. Ahn}, Int. J. Solids Struct. 47, No. 21, 2866--2871 (2010; Zbl 1196.74152) Full Text: DOI
Capatina, Anca; Cocou, Marius; Raous, Michel A class of implicit variational inequalities and applications to frictional contact. (English) Zbl 1177.35129 Math. Methods Appl. Sci. 32, No. 14, 1804-1827 (2009). Reviewer: Igor Bock (Bratislava) MSC: 35K85 49J40 65N12 65N30 PDFBibTeX XMLCite \textit{A. Capatina} et al., Math. Methods Appl. Sci. 32, No. 14, 1804--1827 (2009; Zbl 1177.35129) Full Text: DOI HAL
Cherouat, A.; Radi, B.; El Hami, A. The frictional contact of the composite fabric’s shaping. (English) Zbl 1148.74039 Acta Mech. 199, No. 1-4, 29-41 (2008). MSC: 74M15 74M10 74E30 74S05 PDFBibTeX XMLCite \textit{A. Cherouat} et al., Acta Mech. 199, No. 1--4, 29--41 (2008; Zbl 1148.74039) Full Text: DOI
Hashiguchi, K.; Ozaki, S. Constitutive equation for friction with transition from static to kinetic friction and recovery of static friction. (English) Zbl 1264.74007 Int. J. Plast. 24, No. 11, 2102-2124 (2008). MSC: 74A55 74C10 PDFBibTeX XMLCite \textit{K. Hashiguchi} and \textit{S. Ozaki}, Int. J. Plast. 24, No. 11, 2102--2124 (2008; Zbl 1264.74007) Full Text: DOI
Yi, Kiyoung; Choi, K. K.; Kim, Nam H.; Botkin, Mark E. Design sensitivity analysis and optimization for minimizing springback of sheet-formed part. (English) Zbl 1194.74266 Int. J. Numer. Methods Eng. 71, No. 12, 1483-1511 (2007). MSC: 74P10 74C15 74K25 PDFBibTeX XMLCite \textit{K. Yi} et al., Int. J. Numer. Methods Eng. 71, No. 12, 1483--1511 (2007; Zbl 1194.74266) Full Text: DOI
Oskay, Caglar; Fish, Jacob Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials. (English) Zbl 1173.74380 Comput. Methods Appl. Mech. Eng. 196, No. 7, 1216-1243 (2007). MSC: 74Q10 74R99 74E05 74E30 PDFBibTeX XMLCite \textit{C. Oskay} and \textit{J. Fish}, Comput. Methods Appl. Mech. Eng. 196, No. 7, 1216--1243 (2007; Zbl 1173.74380) Full Text: DOI
Zohdi, T. I. Computation of strongly coupled multifield interaction in particle-fluid systems. (English) Zbl 1173.76418 Comput. Methods Appl. Mech. Eng. 196, No. 37-40, 3927-3950 (2007). MSC: 76T15 76M20 PDFBibTeX XMLCite \textit{T. I. Zohdi}, Comput. Methods Appl. Mech. Eng. 196, No. 37--40, 3927--3950 (2007; Zbl 1173.76418) Full Text: DOI
Mohamed, S. A. An adaptive multigrid iterative approach for frictional contact problems. (English) Zbl 1323.74092 Commun. Numer. Methods Eng. 22, No. 7, 677-697 (2006). MSC: 74S05 74M15 74M10 74B05 65N55 PDFBibTeX XMLCite \textit{S. A. Mohamed}, Commun. Numer. Methods Eng. 22, No. 7, 677--697 (2006; Zbl 1323.74092) Full Text: DOI
Kuttler, Kenneth L.; Shillor, Meir Dynamic bilateral contact with discontinuous friction coefficient. (English) Zbl 1046.74037 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 3, 309-327 (2001). MSC: 74M15 74M10 74H20 74H25 PDFBibTeX XMLCite \textit{K. L. Kuttler} and \textit{M. Shillor}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 3, 309--327 (2001; Zbl 1046.74037) Full Text: DOI
Shillor, Meir; Sofonea, Mircea A quasistatic viscoelastic contact problem with friction. (English) Zbl 1210.74132 Int. J. Eng. Sci. 38, No. 14, 1517-1533 (2000). MSC: 74M15 35Q74 35R45 74D10 74M10 74H25 PDFBibTeX XMLCite \textit{M. Shillor} and \textit{M. Sofonea}, Int. J. Eng. Sci. 38, No. 14, 1517--1533 (2000; Zbl 1210.74132) Full Text: DOI
Capatina, Anca Optimal control of a Signorini contact problem. (English) Zbl 0965.49005 Numer. Funct. Anal. Optimization 21, No. 7-8, 817-828 (2000). MSC: 49J40 74M10 74M15 PDFBibTeX XMLCite \textit{A. Capatina}, Numer. Funct. Anal. Optim. 21, No. 7--8, 817--828 (2000; Zbl 0965.49005) Full Text: DOI
Greenspan, D. Particle simulation in contact mechanics of a bouncing elastic ball. (English) Zbl 0964.70003 Math. Comput. Modelling 32, No. 7-8, 803-812 (2000). MSC: 70-08 70F35 74M15 70F10 PDFBibTeX XMLCite \textit{D. Greenspan}, Math. Comput. Modelling 32, No. 7--8, 803--812 (2000; Zbl 0964.70003) Full Text: DOI
Hasanov, Alemdar Qualitative behaviour of solutions of unilateral elliptic problems with perturbing the unknown boundary. I: The theory. (English) Zbl 1020.35024 Appl. Math. Comput. 109, No. 2-3, 249-260 (2000). MSC: 35J85 35B30 74G15 74M15 PDFBibTeX XMLCite \textit{A. Hasanov}, Appl. Math. Comput. 109, No. 2--3, 249--260 (2000; Zbl 1020.35024) Full Text: DOI
Greenspan, D. The use of particle simulation in contact mechanics. (English) Zbl 1042.74550 Math. Comput. Modelling 30, No. 5-6, 101-108 (1999). MSC: 74M15 74S30 PDFBibTeX XMLCite \textit{D. Greenspan}, Math. Comput. Modelling 30, No. 5--6, 101--108 (1999; Zbl 1042.74550) Full Text: DOI
Awbi, B.; Shillor, M.; Sofonea, M. A contact problem for Bingham fluid with friction. (English) Zbl 1054.74681 Appl. Anal. 72, No. 3-4, 469-484 (1999). MSC: 74M15 76A10 35Q72 74C10 74G25 74G30 PDFBibTeX XMLCite \textit{B. Awbi} et al., Appl. Anal. 72, No. 3--4, 469--484 (1999; Zbl 1054.74681) Full Text: DOI
Jean, M. The non-smooth contact dynamics method. (English) Zbl 0959.74046 Comput. Methods Appl. Mech. Eng. 177, No. 3-4, 235-257 (1999). MSC: 74M15 74S30 74E20 PDFBibTeX XMLCite \textit{M. Jean}, Comput. Methods Appl. Mech. Eng. 177, No. 3--4, 235--257 (1999; Zbl 0959.74046) Full Text: DOI
Sellgren, Ulf; Olofsson, Ulf Application of a constitutive model for micro-slip in finite element analysis. (English) Zbl 0952.74049 Comput. Methods Appl. Mech. Eng. 170, No. 1-2, 65-77 (1999). MSC: 74M15 74S05 74M10 PDFBibTeX XMLCite \textit{U. Sellgren} and \textit{U. Olofsson}, Comput. Methods Appl. Mech. Eng. 170, No. 1--2, 65--77 (1999; Zbl 0952.74049) Full Text: DOI
Zavarise, G.; Wriggers, P. A segment-to-segment contact strategy. (English) Zbl 1002.74564 Math. Comput. Modelling 28, No. 4-8, 497-515 (1998). MSC: 74M15 74S05 PDFBibTeX XMLCite \textit{G. Zavarise} and \textit{P. Wriggers}, Math. Comput. Modelling 28, No. 4--8, 497--515 (1998; Zbl 1002.74564) Full Text: DOI
Radi, B.; Baba, O. A.; Gelin, J.-C. Treatment of the frictional contact via a Lagrangian formulation. (English) Zbl 1002.74565 Math. Comput. Modelling 28, No. 4-8, 407-412 (1998). MSC: 74M15 74M10 74S05 PDFBibTeX XMLCite \textit{B. Radi} et al., Math. Comput. Modelling 28, No. 4--8, 407--412 (1998; Zbl 1002.74565) Full Text: DOI
Cocu, M.; Pratt, E.; Raous, M. Constructive aspects of functional analysis for the treatment of frictional contact. (English) Zbl 1126.74475 Math. Comput. Modelling 28, No. 4-8, 109-120 (1998). MSC: 74M15 74S30 PDFBibTeX XMLCite \textit{M. Cocu} et al., Math. Comput. Modelling 28, No. 4--8, 109--120 (1998; Zbl 1126.74475) Full Text: DOI
Blázquez, A.; París, F.; Cañas, J. Interpretation of the problems found in applying conact conditions in node-to-point schemes with boundary element non-conforming discretizations. (English) Zbl 0957.74065 Eng. Anal. Bound. Elem. 21, No. 4, 361-375 (1998). MSC: 74S15 74M15 PDFBibTeX XMLCite \textit{A. Blázquez} et al., Eng. Anal. Bound. Elem. 21, No. 4, 361--375 (1998; Zbl 0957.74065) Full Text: DOI
Wriggers, P.; Scherf, O. Adaptive finite element techniques for frictional contact problems involving large elastic strains. (English) Zbl 0906.73072 Comput. Methods Appl. Mech. Eng. 151, No. 3-4, 593-603 (1998). MSC: 74S05 74A55 74M15 74B20 PDFBibTeX XMLCite \textit{P. Wriggers} and \textit{O. Scherf}, Comput. Methods Appl. Mech. Eng. 151, No. 3--4, 593--603 (1998; Zbl 0906.73072) Full Text: DOI
Leung, A. Y. T.; Chen, Guoqing; Chen, Wanji Smoothing Newton method for solving two-and three-dimensional frictional contact problems. (English) Zbl 0905.73079 Int. J. Numer. Methods Eng. 41, No. 6, 1001-1027 (1998). MSC: 74S30 74A55 74M15 PDFBibTeX XMLCite \textit{A. Y. T. Leung} et al., Int. J. Numer. Methods Eng. 41, No. 6, 1001--1027 (1998; Zbl 0905.73079) Full Text: DOI
Ling, Wenhua; Stolarski, Henryk K. On elasto-plastic finite element analysis of some frictional contact problems with large sliding. (English) Zbl 0983.74563 Eng. Comput. (Bradf.) 14, No. 5, 558-580 (1997). MSC: 74S05 74M15 74M10 74C05 PDFBibTeX XMLCite \textit{W. Ling} and \textit{H. K. Stolarski}, Eng. Comput. (Bradf.) 14, No. 5, 558--580 (1997; Zbl 0983.74563) Full Text: DOI
Ganghoffer, J. F.; Schultz, J. Interactions between adhesion and friction. I: Theoretical aspects. (English) Zbl 0974.74503 J. Mech. Phys. Solids 45, No. 1, 151-174 (1997). MSC: 74A55 74M10 PDFBibTeX XMLCite \textit{J. F. Ganghoffer} and \textit{J. Schultz}, J. Mech. Phys. Solids 45, No. 1, 151--174 (1997; Zbl 0974.74503) Full Text: DOI
Andrews, Kevin T.; Shillor, M.; Wright, S. On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle. (English) Zbl 0860.73028 J. Elasticity 42, No. 1, 1-30 (1996). Reviewer: J.Genin (Las Cruces) MSC: 74H45 74K10 74A55 74M15 74Hxx PDFBibTeX XMLCite \textit{K. T. Andrews} et al., J. Elasticity 42, No. 1, 1--30 (1996; Zbl 0860.73028) Full Text: DOI
Saleeb, A. F.; Chen, K.; Chang, T. Y. P. A effective two-dimensional frictional contact model for arbitrary curved geometry. (English) Zbl 0805.73067 Int. J. Numer. Methods Eng. 37, No. 8, 1297-1321 (1994). MSC: 74S05 74A55 74M15 PDFBibTeX XMLCite \textit{A. F. Saleeb} et al., Int. J. Numer. Methods Eng. 37, No. 8, 1297--1321 (1994; Zbl 0805.73067) Full Text: DOI
Gläser, H. New constitutive equations for the contact of deformable bodies with friction. (English) Zbl 0757.73047 Acta Mech. 95, No. 1-4, 103-116 (1992). MSC: 74A55 74M15 74A20 74S05 PDFBibTeX XMLCite \textit{H. Gläser}, Acta Mech. 95, No. 1--4, 103--116 (1992; Zbl 0757.73047) Full Text: DOI
Pires, E. B.; Trabucho, L. The steady sliding problem with nonlocal friction. (English) Zbl 0815.73050 Int. J. Eng. Sci. 28, No. 7, 631-641 (1990). MSC: 74A55 74M15 PDFBibTeX XMLCite \textit{E. B. Pires} and \textit{L. Trabucho}, Int. J. Eng. Sci. 28, No. 7, 631--641 (1990; Zbl 0815.73050) Full Text: DOI
Rabier, P.; Martins, J. A. C.; Oden, J. T.; Campos, L. Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws. (English) Zbl 0601.73113 Int. J. Eng. Sci. 24, 1755-1768 (1986). MSC: 74A55 74M15 74G30 74H25 74S30 PDFBibTeX XMLCite \textit{P. Rabier} et al., Int. J. Eng. Sci. 24, 1755--1768 (1986; Zbl 0601.73113) Full Text: DOI
Klarbring, Anders A mathematical programming approach to three-dimensional contact problems with friction. (English) Zbl 0595.73125 Comput. Methods Appl. Mech. Eng. 58, 175-200 (1986). MSC: 74A55 74M15 74S99 65K05 74S30 PDFBibTeX XMLCite \textit{A. Klarbring}, Comput. Methods Appl. Mech. Eng. 58, 175--200 (1986; Zbl 0595.73125) Full Text: DOI
Kalker, J. J. The principle of virtual work and its dual for contact problems. (English) Zbl 0595.73124 Ing.-Arch. 56, 453-467 (1986). MSC: 74A55 74M15 74S30 49J40 PDFBibTeX XMLCite \textit{J. J. Kalker}, Ing.-Arch. 56, 453--467 (1986; Zbl 0595.73124) Full Text: DOI
Oden, J. T.; Lin, T. L. On the general rolling contact problem for finite deformations of a viscoelastic cylinder. (English) Zbl 0582.73113 Comput. Methods Appl. Mech. Eng. 57, 297-367 (1986). MSC: 74A55 74M15 74B20 74S05 49S05 49J40 PDFBibTeX XMLCite \textit{J. T. Oden} and \textit{T. L. Lin}, Comput. Methods Appl. Mech. Eng. 57, 297--367 (1986; Zbl 0582.73113) Full Text: DOI
Oden, J. T.; Martins, J. A. C. Models and computational methods for dynamic friction phenomena. (English) Zbl 0567.73122 Comput. Methods Appl. Mech. Eng. 52, 527-634 (1985). MSC: 74A55 74M15 74S99 49S05 74H55 74S30 49J40 PDFBibTeX XMLCite \textit{J. T. Oden} and \textit{J. A. C. Martins}, Comput. Methods Appl. Mech. Eng. 52, 527--634 (1985; Zbl 0567.73122) Full Text: DOI
Cheng, Jung-Ho; Kikuchi, Noboru An analysis of metal forming processes using large deformation elastic- plastic formulations. (English) Zbl 0556.73044 Comput. Methods Appl. Mech. Eng. 49, 71-108 (1985). MSC: 74C15 74C20 74A55 74M15 74C99 PDFBibTeX XMLCite \textit{J.-H. Cheng} and \textit{N. Kikuchi}, Comput. Methods Appl. Mech. Eng. 49, 71--108 (1985; Zbl 0556.73044) Full Text: DOI Link
Bathe, Klaus-Jürgen; Chaudhary, Anil A solution method for planar and axisymmetric contact problems. (English) Zbl 0551.73099 Int. J. Numer. Methods Eng. 21, 65-88 (1985). MSC: 74A55 74M15 74S99 PDFBibTeX XMLCite \textit{K.-J. Bathe} and \textit{A. Chaudhary}, Int. J. Numer. Methods Eng. 21, 65--88 (1985; Zbl 0551.73099) Full Text: DOI
Pires, E. B.; Oden, J. T. Analysis of contact problems with friction under oscillating loads. (English) Zbl 0543.73139 Comput. Methods Appl. Mech. Eng. 39, 337-362 (1983). MSC: 74A55 74M15 74S99 74-04 PDFBibTeX XMLCite \textit{E. B. Pires} and \textit{J. T. Oden}, Comput. Methods Appl. Mech. Eng. 39, 337--362 (1983; Zbl 0543.73139) Full Text: DOI