Betz, Livia Strong stationarity for the control of viscous history-dependent evolutionary VIs arising in applications. (English) Zbl 07762605 Ann. Acad. Rom. Sci., Math. Appl. 15, No. 1-2, 250-285 (2023). MSC: 34G25 34K35 49J40 49K21 74R99 PDFBibTeX XMLCite \textit{L. Betz}, Ann. Acad. Rom. Sci., Math. Appl. 15, No. 1--2, 250--285 (2023; Zbl 07762605) Full Text: DOI arXiv
Del Piero, Gianpietro The variational structure of classical plasticity. (English) Zbl 1401.74052 Math. Mech. Complex Syst. 6, No. 3, 137-180 (2018). MSC: 74C15 74G65 74A20 74E15 74L10 PDFBibTeX XMLCite \textit{G. Del Piero}, Math. Mech. Complex Syst. 6, No. 3, 137--180 (2018; Zbl 1401.74052) Full Text: DOI
Müller, Georg; Schiela, Anton On the control of time discretized dynamic contact problems. (English) Zbl 1383.49002 Comput. Optim. Appl. 68, No. 2, 243-287 (2017). MSC: 49J20 49M25 65K15 74H15 PDFBibTeX XMLCite \textit{G. Müller} and \textit{A. Schiela}, Comput. Optim. Appl. 68, No. 2, 243--287 (2017; Zbl 1383.49002) Full Text: DOI Link Backlinks: MO
Herzog, Roland; Meyer, Christian; Wachsmuth, Gerd B- and strong stationarity for optimal control of static plasticity with hardening. (English) Zbl 1266.49013 SIAM J. Optim. 23, No. 1, 321-352 (2013). MSC: 49J40 70Q05 74C05 35R45 PDFBibTeX XMLCite \textit{R. Herzog} et al., SIAM J. Optim. 23, No. 1, 321--352 (2013; Zbl 1266.49013) Full Text: DOI
Herzog, Roland; Meyer, Christian; Wachsmuth, Gerd C-stationarity for optimal control of static plasticity with linear kinematic hardening. (English) Zbl 1321.49015 SIAM J. Control Optim. 50, No. 5, 3052-3082 (2012). MSC: 49J40 49K20 49J20 74P10 90C33 PDFBibTeX XMLCite \textit{R. Herzog} et al., SIAM J. Control Optim. 50, No. 5, 3052--3082 (2012; Zbl 1321.49015) Full Text: DOI
Osinov, V. A. On the definitions of failure and critical states in hypoplasticity. (English) Zbl 1172.74003 Contin. Mech. Thermodyn. 20, No. 3, 163-172 (2008). MSC: 74A45 74A20 PDFBibTeX XMLCite \textit{V. A. Osinov}, Contin. Mech. Thermodyn. 20, No. 3, 163--172 (2008; Zbl 1172.74003) Full Text: DOI
Bruhns, O. T.; Xiao, H.; Meyers, A. A weakened form of Ilyushin’s postulate and the structure of self-consistent Eulerian finite elastoplasticity. (English) Zbl 1114.74364 Int. J. Plast. 21, No. 2, 199-219 (2005). MSC: 74C15 PDFBibTeX XMLCite \textit{O. T. Bruhns} et al., Int. J. Plast. 21, No. 2, 199--219 (2005; Zbl 1114.74364) Full Text: DOI
Qin, Qing-Hua Dual variational formulation for Trefftz finite element method of elastic materials. (English) Zbl 1079.74648 Mech. Res. Commun. 31, No. 3, 321-330 (2004). MSC: 74S05 PDFBibTeX XMLCite \textit{Q.-H. Qin}, Mech. Res. Commun. 31, No. 3, 321--330 (2004; Zbl 1079.74648) Full Text: DOI
Shul’ga, M. O.; Bezverkhyj, O. I. On the solution of dynamical problems for discrete-continuous flexible one-dimensional systems with nonpotential deformation characteristics. (Ukrainian. English summary) Zbl 1077.74543 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2004, No. 7, 54-61 (2004). MSC: 74H15 74S30 PDFBibTeX XMLCite \textit{M. O. Shul'ga} and \textit{O. I. Bezverkhyj}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2004, No. 7, 54--61 (2004; Zbl 1077.74543)
Shul’ga, M. O.; Bezverkhyj, O. L.; Korniyenko, V. F. Dynamics of flexible extensive one-dimensional systems with nonlinear elastic characteristics under interaction with the environment. (Ukrainian. English summary) Zbl 1136.74307 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 3, 59-63 (2003). MSC: 74B20 PDFBibTeX XMLCite \textit{M. O. Shul'ga} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 3, 59--63 (2003; Zbl 1136.74307)
Sankin, Yu. N. Nonstationary problems of dynamics of viscoelastic body with distributed parameters. (Russian) Zbl 1042.74008 Vestn. Ul’yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2001, No. 3, 92-98 (2001). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 74D05 74H10 PDFBibTeX XMLCite \textit{Yu. N. Sankin}, Vestn. Ul'yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2001, No. 3, 92--98 (2001; Zbl 1042.74008)
Wu, C.-P.; Wang, Y.-M.; Hung, Y.-C. Asymptotic finite strip analysis of doubly curved laminated shells. (English) Zbl 1015.74031 Comput. Mech. 27, No. 2, 107-118 (2001). MSC: 74K25 74G10 74E30 PDFBibTeX XMLCite \textit{C. P. Wu} et al., Comput. Mech. 27, No. 2, 107--118 (2001; Zbl 1015.74031) Full Text: DOI
Thermann, K. Post-critical plastic deformation pattern in incrementally nonlinear materials at finite strain. (English) Zbl 1030.74014 Petryk, Henryk (ed.), Material instabilities in elastic and plastic solids. Lectures at CISM, Udine, Italy, September 13-17, 1999. Wien: Springer. CISM Courses Lect. 414, 333-384 (2000). Reviewer: M.Mişicu (Bucureşti) MSC: 74C15 74G60 74S05 PDFBibTeX XMLCite \textit{K. Thermann}, CISM Courses Lect. 414, 333--384 (2000; Zbl 1030.74014)
Xiao, H.; Bruhns, O. T.; Meyers, A. The choice of objective rates in finite elastoplasticity: General results on the uniqueness of the logarithmic rate. (English) Zbl 1046.74010 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 2000, 1865-1882 (2000). Reviewer: Anatoliy S. Semenov (Odessa) MSC: 74C15 74G30 PDFBibTeX XMLCite \textit{H. Xiao} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 2000, 1865--1882 (2000; Zbl 1046.74010) Full Text: DOI
Yu, Aimin Generalized variational principle in nonlinear theory of naturally curved and twisted closed thin-walled composite beams. (English) Zbl 0984.74045 Appl. Math. Mech., Engl. Ed. 21, No. 3, 327-334 (2000). MSC: 74K10 74E30 49S05 PDFBibTeX XMLCite \textit{A. Yu}, Appl. Math. Mech., Engl. Ed. 21, No. 3, 327--334 (2000; Zbl 0984.74045) Full Text: DOI
He, Jihuan Further study of the equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles. (English) Zbl 0938.74015 Appl. Math. Mech., Engl. Ed. 20, No. 5, 545-556 (1999). Reviewer: M.Fuchs (Saarbrücken) MSC: 74B99 49S05 PDFBibTeX XMLCite \textit{J. He}, Appl. Math. Mech., Engl. Ed. 20, No. 5, 545--556 (1999; Zbl 0938.74015) Full Text: DOI
Polizzotto, C.; Zito, M. BIEM-based variational principles for elastoplasticity with unilateral contact boundary conditions. (English) Zbl 0956.74070 Eng. Anal. Bound. Elem. 21, No. 4, 329-338 (1998). MSC: 74S15 74M15 74C05 PDFBibTeX XMLCite \textit{C. Polizzotto} and \textit{M. Zito}, Eng. Anal. Bound. Elem. 21, No. 4, 329--338 (1998; Zbl 0956.74070) Full Text: DOI
Kladynoga, V. S. An energy approach to determination of an equilibrium state of geometrically and physically nonlinear elliptic membranes. (Ukrainian) Zbl 0898.73035 Dopov. Akad. Nauk Ukr. 1997, No. 1, 80-86 (1997). Reviewer: O.Yu.Zharii (Kyïv) MSC: 74K20 74B20 74S30 74P10 PDFBibTeX XMLCite \textit{V. S. Kladynoga}, Dopov. Akad. Nauk Ukr. 1997, No. 1, 80--86 (1997; Zbl 0898.73035)
Polizzotto, C. Symmetric BEM formulations for elastic-damage material models. (English) Zbl 0896.73069 Morino, Luigi (ed.) et al., Boundary integral methods for nonlinear problems. Proceedings of the IABEM symposium. Pontignano, Italy, May 28–June 3, 1995. Dordrecht: Kluwer Academic Publishers. 179-184 (1997). MSC: 74S15 74R99 PDFBibTeX XMLCite \textit{C. Polizzotto}, in: Boundary integral methods for nonlinear problems. Proceedings of the IABEM symposium. Pontignano, Italy, May 28--June 3, 1995. Dordrecht: Kluwer Academic Publishers. 179--184 (1997; Zbl 0896.73069)
Li, L.; Babuška, Ivo; Chen, J. The boundary layer for \(p\)-model plate problems. I: Asymptotic analysis. II: Boundary layer behavior. (English) Zbl 0881.73067 Acta Mech. 122, No. 1-4, 181-216 (1997). Reviewer: Hans Bufler (Gräfelding) MSC: 74K20 35Q72 35B40 PDFBibTeX XMLCite \textit{L. Li} et al., Acta Mech. 122, No. 1--4, 181--216 (1997; Zbl 0881.73067) Full Text: DOI
Qin, Q. H.; He, X. Q. Variational principles, FE and MPT for analysis of nonlinear impact-contact problems. (English) Zbl 0852.73070 Comput. Methods Appl. Mech. Eng. 122, No. 3-4, 205-222 (1995). MSC: 74S05 74S30 74P10 74A55 74M15 74M20 PDFBibTeX XMLCite \textit{Q. H. Qin} and \textit{X. Q. He}, Comput. Methods Appl. Mech. Eng. 122, No. 3--4, 205--222 (1995; Zbl 0852.73070) Full Text: DOI
Comi, C.; Perego, U. A unified approach for variationally consistent finite elements in elastoplasticity. (English) Zbl 0852.73058 Comput. Methods Appl. Mech. Eng. 121, No. 1-4, 323-344 (1995). MSC: 74S05 74S30 74P10 74C99 PDFBibTeX XMLCite \textit{C. Comi} and \textit{U. Perego}, Comput. Methods Appl. Mech. Eng. 121, No. 1--4, 323--344 (1995; Zbl 0852.73058) Full Text: DOI
Polizzotto, C.; Zito, M. Variational formulations for coupled BE/FE methods in elastostatics. (English) Zbl 0819.73067 Z. Angew. Math. Mech. 74, No. 11, 533-543 (1994). MSC: 74S05 74S15 74S30 74P10 74B99 74H99 PDFBibTeX XMLCite \textit{C. Polizzotto} and \textit{M. Zito}, Z. Angew. Math. Mech. 74, No. 11, 533--543 (1994; Zbl 0819.73067) Full Text: DOI
Davì, G.; Milazzo, A. A hybrid displacement variational formulation of BEM for elastodynamics. (English) Zbl 0811.73067 Brebbia, C. A. (ed.), Boundary element method XVI. 16th international boundary element method conference, Southampton, GB, 12-15 July 1994. Vol. 1. Southampton: Computational Mechanics Publications. 505-512 (1994). MSC: 74S15 74H45 74S30 74P10 PDFBibTeX XMLCite \textit{G. Davì} and \textit{A. Milazzo}, in: Boundary element method XVI. 16th international boundary element method conference, Southampton, GB, 12-15 July 1994. Vol. 1. South\-amp\-ton: Computational Mechanics Publications. 505--512 (1994; Zbl 0811.73067)
Polizzotto, Castrenze; Zito, Marianna A step-wise variational approach to elastic-plastic analysis by boundary/interior elements. (English) Zbl 0794.73079 Int. J. Plast. 10, No. 1, 81-101 (1994). MSC: 74S30 74P10 74S15 74H99 PDFBibTeX XMLCite \textit{C. Polizzotto} and \textit{M. Zito}, Int. J. Plast. 10, No. 1, 81--101 (1994; Zbl 0794.73079) Full Text: DOI
Bardenhagen, S.; Triantafyllidis, N. Derivation of higher order gradient continuum theories in 2,3-D nonlinear elasticity from periodic lattice models. (English) Zbl 0820.73014 J. Mech. Phys. Solids 42, No. 1, 111-139 (1994). Reviewer: G.Brunk (Berlin) MSC: 74B20 74A60 74M25 74A20 82B20 74G99 74H99 PDFBibTeX XMLCite \textit{S. Bardenhagen} and \textit{N. Triantafyllidis}, J. Mech. Phys. Solids 42, No. 1, 111--139 (1994; Zbl 0820.73014) Full Text: DOI
DeFigueiredo, T.; Brebbia, C. A. Hybrid boundary element formulations. (English) Zbl 0816.73065 Aliabadi, M. H. (ed.) et al., Advanced formulations in boundary element methods. Southampton: Computational Mechanics Publications,. 117-150 (1993). Reviewer: V.Sládek (Bratislava) MSC: 74S15 74S30 74P10 74B05 65N38 PDFBibTeX XMLCite \textit{T. DeFigueiredo} and \textit{C. A. Brebbia}, in: Advanced formulations in boundary element methods. Southampton: Computational Mechanics Publications; London: Elsevier Applied Science. 117--150 (1993; Zbl 0816.73065)
Romano, G.; Rosati, L.; Marotti de Sciarra, F. A variational theory for finite-step elasto-plastic problems. (English) Zbl 0781.73081 Int. J. Solids Struct. 30, No. 17, 2317-2334 (1993). MSC: 74S30 74P10 74C99 PDFBibTeX XMLCite \textit{G. Romano} et al., Int. J. Solids Struct. 30, No. 17, 2317--2334 (1993; Zbl 0781.73081) Full Text: DOI
Podio-Guidugli, Paolo; Caffarelli, Giorgio Vergara Equilibrium phases and layered phase mixtures in elasticity. (English) Zbl 0772.73005 Math. Models Methods Appl. Sci. 2, No. 2, 143-166 (1992). Reviewer: Gh.Gr.Ciobanu (Iaşi) MSC: 74A15 74B20 80A22 80A17 PDFBibTeX XMLCite \textit{P. Podio-Guidugli} and \textit{G. V. Caffarelli}, Math. Models Methods Appl. Sci. 2, No. 2, 143--166 (1992; Zbl 0772.73005) Full Text: DOI
Bratus’, A. S.; Myshkis, A. D. The relation between the first and second natural frequencies of vibrations of a membrane. (English. Russian original) Zbl 0769.73047 Comput. Math. Math. Phys. 32, No. 2, 264-269 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 2, 320-325 (1992). Reviewer: M.Mişicu (Bucureşti) MSC: 74H45 74K20 35P15 PDFBibTeX XMLCite \textit{A. S. Bratus'} and \textit{A. D. Myshkis}, Comput. Math. Math. Phys. 32, No. 2, 264--269 (1992; Zbl 0769.73047); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 2, 320--325 (1992)
Zhong, Wangxie; Cheng, Kengtung The second order senstivity analysis of multi-modal eigenvalues and related optimization technique. (English) Zbl 0683.73051 The advances of applied mathematics and mchanics in China, Vol. 1, 274-287 (1988). MSC: 74P99 49R50 90C31 90C20 PDFBibTeX XML
Stumpf, H. General concept of the analysis of thin elastic shells. (English) Zbl 0623.73068 Z. Angew. Math. Mech. 66, 337-350 (1986). Reviewer: F.A.Emmerling MSC: 74K15 74G60 74B20 74A20 74S30 74K25 PDFBibTeX XMLCite \textit{H. Stumpf}, Z. Angew. Math. Mech. 66, 337--350 (1986; Zbl 0623.73068) Full Text: DOI
Leipholz, H. H. E. On principles of stationarity for non-selfadjoint rod problems. (English) Zbl 0587.73075 Comput. Methods Appl. Mech. Eng. 59, 215-226 (1986). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{H. H. E. Leipholz}, Comput. Methods Appl. Mech. Eng. 59, 215--226 (1986; Zbl 0587.73075) Full Text: DOI
Mang, H. A.; Gallagher, R. H. On the elimination of Lagrange multipliers in multifield finite element methods. (English) Zbl 0624.73079 Hybrid and mixed finite element methods, Winter Annu. Meet. ASME, Miami Beach/Fl. 1985, AMD-Vols. 73, 77-90 (1985). MSC: 74S05 74S30 65K10 PDFBibTeX XML
Pietraszkiewicz, W. On entirely Lagrangian displacemental form of nonlinear shell equations. (English) Zbl 0551.73065 Flexible shells, theory and applications, Euromech. Colloq. 165, Munich 1984, 106-123 (1984). MSC: 74K15 74B20 PDFBibTeX XML
Nyssen, C.; Beckers, P. A unified approach for displacement, equilibrium and hybrid finite element models in elasto-plasticity. (English) Zbl 0535.73056 Comput. Methods Appl. 44, 131-151 (1984). MSC: 74S05 74S30 74S99 49M15 PDFBibTeX XMLCite \textit{C. Nyssen} and \textit{P. Beckers}, Comput. Methods Appl. Mech. Eng. 44, 131--151 (1984; Zbl 0535.73056) Full Text: DOI
Nyssen, C.; Beckers, P. A unified approach for displacement, equilibrium and hybrid finite element models in elasto-plasticity. (English) Zbl 0525.73082 Comput. Methods Appl. Mech. Eng. (to appear). MSC: 74S05 49M15 74S30 74S99 PDFBibTeX XML
Bigi, Dante Method of residuals in elasticity. (Italian. English summary) Zbl 0591.73023 Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 117(1985), 103-109 (1983). MSC: 74S30 49M15 PDFBibTeX XMLCite \textit{D. Bigi}, Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 117, 103--109 (1983; Zbl 0591.73023)
Kukishev, V. L.; Sankin, Yu. N. Modifications of the finite-element method. (English. Russian original) Zbl 0515.73064 Sov. Appl. Mech. 18, 602-606 (1983); translation from Prikl. Mekh. 18, No. 7, 29-33 (1982). MSC: 74S05 74S99 PDFBibTeX XMLCite \textit{V. L. Kukishev} and \textit{Yu. N. Sankin}, Sov. Appl. Mech. 18, 602--606 (1982; Zbl 0515.73064); translation from Prikl. Mekh. 18, No. 7, 29--33 (1982) Full Text: DOI
Ascione, L.; Grimaldi, A. Penalty formulations of the unilateral contact problem between plates and an elastic half-space. (English) Zbl 0504.73079 Penalty-finite element methods in mechanics, Winter Ann. Meet. ASME, Phoenix/Ariz. 1982, AMD-Vol. 51, 109-122 (1982). MSC: 74A55 74M15 49M30 74S05 74S99 74S30 49J40 PDFBibTeX XML
Brovko, G. L. Variational principles in the theory of small-curvature elastoplastic processes. (Russian) Zbl 0494.73033 Vestn. Mosk. Univ., Ser. I 1982, No. 3, 82-85 (1982). MSC: 74C99 49S05 74S30 PDFBibTeX XMLCite \textit{G. L. Brovko}, Vestn. Mosk. Univ., Ser. I 1982, No. 3, 82--85 (1982; Zbl 0494.73033)
Szeidl, Gy. Dual variational principles in linear micropolar elastostatics. (English) Zbl 0533.73021 Acta Tech. Acad. Sci. Hung. 93, 347-366 (1981). MSC: 74S30 49S05 74B10 74A35 PDFBibTeX XMLCite \textit{Gy. Szeidl}, Acta Tech. Acad. Sci. Hung. 93, 347--366 (1981; Zbl 0533.73021)
Akopyan, Zh. S.; Guz’, A. N. On variational principles of stability theory of mining workings for incompressible models. (Russian) Zbl 0494.73096 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 10, 27-30 (1981). MSC: 74L10 49S05 PDFBibTeX XMLCite \textit{Zh. S. Akopyan} and \textit{A. N. Guz'}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 10, 27--30 (1981; Zbl 0494.73096)
Ozaki, Tohru Non-linear threshold autoregressive models for non-linear random vibrations. (English) Zbl 0459.73077 J. Appl. Probab. 18, 443-451 (1981). MSC: 74H50 62M10 60H10 PDFBibTeX XMLCite \textit{T. Ozaki}, J. Appl. Probab. 18, 443--451 (1981; Zbl 0459.73077) Full Text: DOI
Cheng, Keng-Tung; Olhoff, Niels An investigation concerning optimal design of solid elastic plates. (English) Zbl 0457.73079 Int. J. Solids Struct. 17, 305-323 (1981). MSC: 74P99 74K20 65Y99 65K10 PDFBibTeX XMLCite \textit{K.-T. Cheng} and \textit{N. Olhoff}, Int. J. Solids Struct. 17, 305--323 (1981; Zbl 0457.73079) Full Text: DOI
Atanackovic, T. A stationarity principle for simple elastic materials. (English) Zbl 0458.73004 Z. Angew. Math. Mech. 60, T94-T95 (1980). MSC: 74S30 74B10 49S05 74A99 58C20 PDFBibTeX XMLCite \textit{T. Atanackovic}, Z. Angew. Math. Mech. 60, T94--T95 (1980; Zbl 0458.73004) Full Text: DOI