Levitas, Valery I. Phase field approach to martensitic phase transformations with large strains and interface stresses. (English) Zbl 1328.74003 J. Mech. Phys. Solids 70, 154-189 (2014). MSC: 74A15 74N99 74A50 74C15 35Q56 74A10 PDF BibTeX XML Cite \textit{V. I. Levitas}, J. Mech. Phys. Solids 70, 154--189 (2014; Zbl 1328.74003) Full Text: DOI Link OpenURL
Levitas, Valery I.; Attariani, Hamed Anisotropic compositional expansion in elastoplastic materials and corresponding chemical potential: Large-strain formulation and application to amorphous lithiated silicon. (English) Zbl 1328.74025 J. Mech. Phys. Solids 69, 84-111 (2014). MSC: 74C20 74F25 74F05 74A15 74E30 74A10 PDF BibTeX XML Cite \textit{V. I. Levitas} and \textit{H. Attariani}, J. Mech. Phys. Solids 69, 84--111 (2014; Zbl 1328.74025) Full Text: DOI OpenURL
Levitas, Valery I.; Ozsoy, Istemi B. Micromechanical modeling of stress-induced phase transformations. I: Thermodynamics and kinetics of coupled interface propagation and reorientation. (English) Zbl 1277.74059 Int. J. Plast. 25, No. 2, 239-280 (2009). MSC: 74N15 74C99 PDF BibTeX XML Cite \textit{V. I. Levitas} and \textit{I. B. Ozsoy}, Int. J. Plast. 25, No. 2, 239--280 (2009; Zbl 1277.74059) Full Text: DOI OpenURL
Levitas, Valery I.; Ozsoy, Istemi B. Micromechanical modeling of stress-induced phase transformations. II: Computational algorithms and examples. (English) Zbl 1277.74058 Int. J. Plast. 25, No. 3, 546-583 (2009). MSC: 74N15 74C99 PDF BibTeX XML Cite \textit{V. I. Levitas} and \textit{I. B. Ozsoy}, Int. J. Plast. 25, No. 3, 546--583 (2009; Zbl 1277.74058) Full Text: DOI OpenURL
Levitas, Valery I. Critical thought experiment to choose the driving force for interface propagation in inelastic materials. (English) Zbl 1032.74613 Int. J. Plast. 18, No. 11, 1499-1525 (2002). MSC: 74N20 74C15 PDF BibTeX XML Cite \textit{V. I. Levitas}, Int. J. Plast. 18, No. 11, 1499--1525 (2002; Zbl 1032.74613) Full Text: DOI OpenURL
Idesman, Alexander V.; Levitas, Valery I.; Stein, Erwin Structural changes in elastoplastic material: A unified finite-element approach to phase transformation, twinning and fracture. (English) Zbl 1003.74056 Int. J. Plast. 16, No. 7-8, 893-949 (2000). Reviewer: I.A.Parinov (Rostov-na-Donu) MSC: 74N99 74S05 74A50 74C05 74C15 74A45 PDF BibTeX XML Cite \textit{A. V. Idesman} et al., Int. J. Plast. 16, No. 7--8, 893--949 (2000; Zbl 1003.74056) Full Text: DOI OpenURL
Idesman, Alexander V.; Levitas, Valery I.; Stein, Erwin Elastoplastic materials with martensitic phase transition and twinning at finite strains: Numerical solution with the finite element method. (English) Zbl 0961.74060 Comput. Methods Appl. Mech. Eng. 173, No. 1-2, 71-98 (1999). MSC: 74S05 74N05 74C15 PDF BibTeX XML Cite \textit{A. V. Idesman} et al., Comput. Methods Appl. Mech. Eng. 173, No. 1--2, 71--98 (1999; Zbl 0961.74060) Full Text: DOI OpenURL
Levitas, Valery I. A new look at the problem of plastic spin based on stability analysis. (English) Zbl 0974.74513 J. Mech. Phys. Solids 46, No. 3, 557-590 (1998). MSC: 74C99 74E15 PDF BibTeX XML Cite \textit{V. I. Levitas}, J. Mech. Phys. Solids 46, No. 3, 557--590 (1998; Zbl 0974.74513) Full Text: DOI OpenURL
Levitas, Valery I. Thermomechanical theory of martensitic phase transformations in inelastic materials. (English) Zbl 0931.74059 Int. J. Solids Struct. 35, No. 9-10, 889-940 (1998). MSC: 74N05 74A15 74C99 80A22 82B26 PDF BibTeX XML Cite \textit{V. I. Levitas}, Int. J. Solids Struct. 35, No. 9--10, 889--940 (1998; Zbl 0931.74059) Full Text: DOI OpenURL
Levitas, V. I.; Idesman, A. V.; Stein, Erwin Finite element simulation of martensitic phase transitions in elastoplastic materials. (English) Zbl 0931.74071 Int. J. Solids Struct. 35, No. 9-10, 855-887 (1998). MSC: 74S05 74N20 74A15 80A22 74C05 PDF BibTeX XML Cite \textit{V. I. Levitas} et al., Int. J. Solids Struct. 35, No. 9--10, 855--887 (1998; Zbl 0931.74071) Full Text: DOI OpenURL
Levitas, V. I. Phase transition in a plastic layer: Finite strains analytical solution. (English) Zbl 0925.73199 ZAMM, Z. Angew. Math. Mech. 78, Suppl. 1, S117-S120 (1998). MSC: 74C15 74C20 74A15 80A22 PDF BibTeX XML Cite \textit{V. I. Levitas}, ZAMM, Z. Angew. Math. Mech. 78, S117--S120 (1998; Zbl 0925.73199) OpenURL
Levitas, Valery I. Principle of minimum dissipation rate at time \(t+\Delta t\) for the plastic spin. (English) Zbl 0931.74015 Mech. Res. Commun. 24, No. 6, 639-648 (1997). Reviewer: T.Nono (Hiroshima) MSC: 74C99 74A20 PDF BibTeX XML Cite \textit{V. I. Levitas}, Mech. Res. Commun. 24, No. 6, 639--648 (1997; Zbl 0931.74015) Full Text: DOI OpenURL
Stein, Erwin; Levitas, V. I.; Kuczma, M. S. A nonconvex problem for solids with phase transformations. (English) Zbl 0925.73053 Z. Angew. Math. Mech. 76, Suppl. 5, 499-500 (1996). MSC: 74A15 74C99 80A22 PDF BibTeX XML Cite \textit{E. Stein} et al., Z. Angew. Math. Mech. 76, 499--500 (1996; Zbl 0925.73053) OpenURL
Levitas, Valery I. Thermomechanics of martensitic phase transitions in elastoplastic materials. (English) Zbl 0842.73005 Mech. Res. Commun. 22, No. 1, 87-94 (1995). Reviewer: G.Brunk (Berlin) MSC: 74A15 74C99 74A60 74M25 80A22 PDF BibTeX XML Cite \textit{V. I. Levitas}, Mech. Res. Commun. 22, No. 1, 87--94 (1995; Zbl 0842.73005) Full Text: DOI OpenURL
Idesman, A. V.; Levitas, V. I. Finite element procedure for solving contact thermoelastoplastic problems at large strains, normal and high pressures. (English) Zbl 1067.74576 Comput. Methods Appl. Mech. Eng. 126, No. 1-2, 39-66 (1995). MSC: 74S05 74C15 74M15 74F05 PDF BibTeX XML Cite \textit{A. V. Idesman} and \textit{V. I. Levitas}, Comput. Methods Appl. Mech. Eng. 126, No. 1--2, 39--66 (1995; Zbl 1067.74576) Full Text: DOI OpenURL
Levitas, Valery I. The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. II. (English) Zbl 0899.73133 Int. J. Eng. Sci. 33, No. 7, 947-971 (1995). MSC: 74C99 74A15 80A22 PDF BibTeX XML Cite \textit{V. I. Levitas}, Int. J. Eng. Sci. 33, No. 7, 947--971 (1995; Zbl 0899.73133) Full Text: DOI OpenURL
Levitas, Valery I. The postulate of realizability: Formulation and applications to the post-bifurcation behaviour and phase transitions in elastoplastic materials. I. (English) Zbl 0899.73132 Int. J. Eng. Sci. 33, No. 7, 921-945 (1995). MSC: 74C99 74A15 80A22 PDF BibTeX XML Cite \textit{V. I. Levitas}, Int. J. Eng. Sci. 33, No. 7, 921--945 (1995; Zbl 0899.73132) Full Text: DOI OpenURL
Levitas, Valery I. On the theory of large elastoplastic deformations. (English) Zbl 0838.73030 Bruhns, O. T. (ed.), Große plastische Formänderungen. Kurzfassungen der auf dem Seminar in Bad Honnef, Deutschland, vom 19.-23. September 1994 gehaltenen Vorträge. Bochum: Inst. f. Mechanik der Ruhr-Univ. Bochum, Mitt. Inst. Mech., Ruhr-Univ. Bochum. 93, 34-37 (1994). Reviewer: N.Sandru (Bucureşti) MSC: 74C15 74C20 PDF BibTeX XML Cite \textit{V. I. Levitas}, in: Große plastische Formänderungen. Kurzfassungen der auf dem Seminar in Bad Honnef, Deutschland, vom 19.-23. September 1994 gehaltenen Vorträge. Bochum: Inst. f. Mechanik der Ruhr-Univ. Bochum. 34--37 (1994; Zbl 0838.73030) OpenURL
Levitas, Valery I. Thermomechanical description of pseudoelasticity. The threshold-type dissipative force with discrete memory. (English) Zbl 0800.73095 Mech. Res. Commun. 21, No. 3, 273-280 (1994). MSC: 74C99 74A15 PDF BibTeX XML Cite \textit{V. I. Levitas}, Mech. Res. Commun. 21, No. 3, 273--280 (1994; Zbl 0800.73095) Full Text: DOI OpenURL
Levitas, Valerij I. Plasticity theory of microinhomogeneous materials at large strain gradient. (English) Zbl 0803.73037 Mech. Res. Commun. 21, No. 1, 11-17 (1994). Reviewer: N.Cristescu (Gainesville) MSC: 74C15 74C20 74A60 74M25 74C99 PDF BibTeX XML Cite \textit{V. I. Levitas}, Mech. Res. Commun. 21, No. 1, 11--17 (1994; Zbl 0803.73037) Full Text: DOI OpenURL
Levitas, V. I. On correct account of finite rotations in finite plasticity theory. (English) Zbl 0768.73025 Acta Mech. Sin., Engl. Ed. 8, No. 3, 253-260 (1992). MSC: 74C15 74C20 PDF BibTeX XML Cite \textit{V. I. Levitas}, Acta Mech. Sin., Engl. Ed. 8, No. 3, 253--260 (1992; Zbl 0768.73025) Full Text: DOI OpenURL
Levitas, V. I. Structure of generating relations for elastico-plastic composites in case of finite deformations. (Russian. English summary) Zbl 0705.73076 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 3, 43-47 (1989). MSC: 74C15 74C20 74E30 74E05 PDF BibTeX XML Cite \textit{V. I. Levitas}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 3, 43--47 (1989; Zbl 0705.73076) OpenURL
Novikov, N. V.; Levitas, V. I.; Leshchuk, A. A.; Idesman, A. V. Simulation of the process of diamond synthesis in the reaction zone of a high-pressure apparatus. (Russian. English summary) Zbl 0711.73098 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 7, 40-43 (1988). MSC: 74B99 74C99 74D99 74A15 PDF BibTeX XML Cite \textit{N. V. Novikov} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 7, 40--43 (1988; Zbl 0711.73098) OpenURL
Levitas, V. I. Relations for anisotropic and isotropic creeping elastoplastic media with finite deformations. (Russian. English summary) Zbl 0638.73001 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1987, No. 12, 31-35 (1987). MSC: 74B99 74C99 74D99 74E10 74A20 PDF BibTeX XML Cite \textit{V. I. Levitas}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1987, No. 12, 31--35 (1987; Zbl 0638.73001) OpenURL
Levitas, V. I. Constitutive equations in velocities for isotropic and anisotropic elasto-plastic materials under finite deformations. (Russian. English summary) Zbl 0605.73036 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1986, No. 6, 35-38 (1986). MSC: 74B99 74C99 74D99 74B20 74A20 PDF BibTeX XML Cite \textit{V. I. Levitas}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1986, No. 6, 35--38 (1986; Zbl 0605.73036) OpenURL
Levitas, V. I. Some relations for systems with dry friction. (English. Russian original) Zbl 0632.73035 Sov. Phys., Dokl. 30, 37-39 (1985); translation from Dokl. Akad. Nauk SSSR 280, 52-56 (1985). MSC: 74C99 PDF BibTeX XML Cite \textit{V. I. Levitas}, Sov. Phys., Dokl. 30, 37--39 (1985; Zbl 0632.73035); translation from Dokl. Akad. Nauk SSSR 280, 52--56 (1985) OpenURL
Novikov, N. V.; Levitas, V. I.; Idesman, A. V. Solution of contact thermoelasto-plastic problems by the finite element method. (Russian. English summary) Zbl 0576.73113 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 1, 28-33 (1985). MSC: 74A55 74M15 74C99 74F05 PDF BibTeX XML Cite \textit{N. V. Novikov} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 1, 28--33 (1985; Zbl 0576.73113) OpenURL
Levitas, V. I. On the postulate of dissipation for discrete and continuous plastic systems. (Russian. English summary) Zbl 0555.73046 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 6, 26-32 (1983). MSC: 74C99 PDF BibTeX XML Cite \textit{V. I. Levitas}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 6, 26--32 (1983; Zbl 0555.73046) OpenURL
Levitas, V. I. On the theory of large elasto-plastic deformations. (Russian. English summary) Zbl 0538.73041 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 11, 48-53 (1983). Reviewer: S.Cleja-Tigoiu MSC: 74C99 74B20 PDF BibTeX XML Cite \textit{V. I. Levitas}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 11, 48--53 (1983; Zbl 0538.73041) OpenURL