A dual pass mortar approach for unbiased constraints and self-contact
A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error e...
Ausführliche Beschreibung
Autor*in: |
Puso, M.A. [verfasserIn] Solberg, J.M. [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2020 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Computer methods in applied mechanics and engineering - Amsterdam [u.a.] : Elsevier Science, 1972, 367 |
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Übergeordnetes Werk: |
volume:367 |
DOI / URN: |
10.1016/j.cma.2020.113092 |
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Katalog-ID: |
ELV004238907 |
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100 | 1 | |a Puso, M.A. |e verfasserin |4 aut | |
245 | 1 | 0 | |a A dual pass mortar approach for unbiased constraints and self-contact |
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520 | |a A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. | ||
650 | 4 | |a Mortar contact | |
650 | 4 | |a Domain decomposition | |
650 | 4 | |a Lagrange multipliers | |
650 | 4 | |a Localized Lagrange multipliers | |
700 | 1 | |a Solberg, J.M. |e verfasserin |4 aut | |
773 | 0 | 8 | |i Enthalten in |t Computer methods in applied mechanics and engineering |d Amsterdam [u.a.] : Elsevier Science, 1972 |g 367 |h Online-Ressource |w (DE-627)306715848 |w (DE-600)1501322-4 |w (DE-576)094531285 |7 nnns |
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936 | b | k | |a 50.03 |j Methoden und Techniken der Ingenieurwissenschaften |
936 | b | k | |a 50.31 |j Technische Mechanik |
936 | b | k | |a 51.32 |j Werkstoffmechanik |
936 | b | k | |a 54.80 |j Angewandte Informatik |
951 | |a AR | ||
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2020 |
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publishDate |
2020 |
allfields |
10.1016/j.cma.2020.113092 doi (DE-627)ELV004238907 (ELSEVIER)S0045-7825(20)30276-0 DE-627 ger DE-627 rda eng 004 DE-600 50.03 bkl 50.31 bkl 51.32 bkl 54.80 bkl Puso, M.A. verfasserin aut A dual pass mortar approach for unbiased constraints and self-contact 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. Mortar contact Domain decomposition Lagrange multipliers Localized Lagrange multipliers Solberg, J.M. verfasserin aut Enthalten in Computer methods in applied mechanics and engineering Amsterdam [u.a.] : Elsevier Science, 1972 367 Online-Ressource (DE-627)306715848 (DE-600)1501322-4 (DE-576)094531285 nnns volume:367 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.03 Methoden und Techniken der Ingenieurwissenschaften 50.31 Technische Mechanik 51.32 Werkstoffmechanik 54.80 Angewandte Informatik AR 367 |
spelling |
10.1016/j.cma.2020.113092 doi (DE-627)ELV004238907 (ELSEVIER)S0045-7825(20)30276-0 DE-627 ger DE-627 rda eng 004 DE-600 50.03 bkl 50.31 bkl 51.32 bkl 54.80 bkl Puso, M.A. verfasserin aut A dual pass mortar approach for unbiased constraints and self-contact 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. Mortar contact Domain decomposition Lagrange multipliers Localized Lagrange multipliers Solberg, J.M. verfasserin aut Enthalten in Computer methods in applied mechanics and engineering Amsterdam [u.a.] : Elsevier Science, 1972 367 Online-Ressource (DE-627)306715848 (DE-600)1501322-4 (DE-576)094531285 nnns volume:367 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.03 Methoden und Techniken der Ingenieurwissenschaften 50.31 Technische Mechanik 51.32 Werkstoffmechanik 54.80 Angewandte Informatik AR 367 |
allfields_unstemmed |
10.1016/j.cma.2020.113092 doi (DE-627)ELV004238907 (ELSEVIER)S0045-7825(20)30276-0 DE-627 ger DE-627 rda eng 004 DE-600 50.03 bkl 50.31 bkl 51.32 bkl 54.80 bkl Puso, M.A. verfasserin aut A dual pass mortar approach for unbiased constraints and self-contact 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. Mortar contact Domain decomposition Lagrange multipliers Localized Lagrange multipliers Solberg, J.M. verfasserin aut Enthalten in Computer methods in applied mechanics and engineering Amsterdam [u.a.] : Elsevier Science, 1972 367 Online-Ressource (DE-627)306715848 (DE-600)1501322-4 (DE-576)094531285 nnns volume:367 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.03 Methoden und Techniken der Ingenieurwissenschaften 50.31 Technische Mechanik 51.32 Werkstoffmechanik 54.80 Angewandte Informatik AR 367 |
allfieldsGer |
10.1016/j.cma.2020.113092 doi (DE-627)ELV004238907 (ELSEVIER)S0045-7825(20)30276-0 DE-627 ger DE-627 rda eng 004 DE-600 50.03 bkl 50.31 bkl 51.32 bkl 54.80 bkl Puso, M.A. verfasserin aut A dual pass mortar approach for unbiased constraints and self-contact 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. Mortar contact Domain decomposition Lagrange multipliers Localized Lagrange multipliers Solberg, J.M. verfasserin aut Enthalten in Computer methods in applied mechanics and engineering Amsterdam [u.a.] : Elsevier Science, 1972 367 Online-Ressource (DE-627)306715848 (DE-600)1501322-4 (DE-576)094531285 nnns volume:367 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.03 Methoden und Techniken der Ingenieurwissenschaften 50.31 Technische Mechanik 51.32 Werkstoffmechanik 54.80 Angewandte Informatik AR 367 |
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10.1016/j.cma.2020.113092 doi (DE-627)ELV004238907 (ELSEVIER)S0045-7825(20)30276-0 DE-627 ger DE-627 rda eng 004 DE-600 50.03 bkl 50.31 bkl 51.32 bkl 54.80 bkl Puso, M.A. verfasserin aut A dual pass mortar approach for unbiased constraints and self-contact 2020 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. Mortar contact Domain decomposition Lagrange multipliers Localized Lagrange multipliers Solberg, J.M. verfasserin aut Enthalten in Computer methods in applied mechanics and engineering Amsterdam [u.a.] : Elsevier Science, 1972 367 Online-Ressource (DE-627)306715848 (DE-600)1501322-4 (DE-576)094531285 nnns volume:367 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2008 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 50.03 Methoden und Techniken der Ingenieurwissenschaften 50.31 Technische Mechanik 51.32 Werkstoffmechanik 54.80 Angewandte Informatik AR 367 |
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A dual pass mortar approach for unbiased constraints and self-contact |
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title_full |
A dual pass mortar approach for unbiased constraints and self-contact |
author_sort |
Puso, M.A. |
journal |
Computer methods in applied mechanics and engineering |
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Computer methods in applied mechanics and engineering |
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eng |
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2020 |
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Puso, M.A. Solberg, J.M. |
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Elektronische Aufsätze |
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Puso, M.A. |
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10.1016/j.cma.2020.113092 |
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004 |
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verfasserin |
title_sort |
a dual pass mortar approach for unbiased constraints and self-contact |
title_auth |
A dual pass mortar approach for unbiased constraints and self-contact |
abstract |
A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. |
abstractGer |
A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. |
abstract_unstemmed |
A dual pass stabilized mortar contact and mesh tying method is proposed. The method is fully symmetric in that no bias is made when choosing the multiplier space. Using a mesh dependent norm, the approach is shown to satisfy an inf–sup stability condition which is used to develop an a-priori error estimator for the bilateral constraint condition. The method was implemented for 3-D and is applicable to contact constraints with normal pressures and tied constraints with surface tractions. The addition of stabilization requires some special attention to show that the inequality constraints are treatable according to the standard KKT conditions. In fact, it is shown that the proposed scheme is equivalent to a particular form of intermediate surface constraint method. The examples compare the standard single surface mortar with the dual pass approach when applicable. Several sensitivity studies of the stabilization parameter are included in the results. A number of examples include nonlinear kinematics, plasticity and self-contact and all performed well for the proposed approach. |
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title_short |
A dual pass mortar approach for unbiased constraints and self-contact |
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up_date |
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