{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T17:53:20Z","timestamp":1725645200905},"publisher-location":"Berlin, Heidelberg","reference-count":32,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540532187"},{"type":"electronic","value":"9783642761232"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1990]]},"DOI":"10.1007\/978-3-642-76123-2_14","type":"book-chapter","created":{"date-parts":[[2011,12,23]],"date-time":"2011-12-23T07:26:23Z","timestamp":1324625183000},"page":"238-257","source":"Crossref","is-referenced-by-count":0,"title":["Shape Memory Materials: Mathematical Modelling and Numerical Simulations"],"prefix":"10.1007","author":[{"given":"Karl-Heinz","family":"Hoffmann","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marek","family":"Niezg\u00f3dka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"14_CR1","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/BF00532524","volume":"53","author":"M Achenbach","year":"1983","unstructured":"M. Achenbach, I. M\u00fcller: Creep and yield in martensitic transformation. Ingenieur-Archiv, 53 (1983), 73\u201383.","journal-title":"Ingenieur-Archiv"},{"key":"14_CR2","volume-title":"Shape memory as a thermally activated process","author":"M Achenbach","year":"1984","unstructured":"M. Achenbach, I. M\u00fcller: Shape memory as a thermally activated process. Hermann-F\u00f6ttinger Institut, TU Berlin, Preprint, 1984."},{"volume-title":"Phase Transformations","year":"1986","key":"14_CR3","unstructured":"E.C. Aifantis, J. Gittus, Eds.: Phase Transformations. Elsevier, Amsterdam, 1986."},{"volume-title":"A numerical study of structural phase transitions in shape memory alloys","year":"1985","key":"14_CR4","unstructured":"H.W. Alt, K.-H. Hoffmann, M. Niezg\u00f3dka, J. Sprekels: A numerical study of structural phase transitions in shape memory alloys. Inst. of Mathematics, University of Augsburg, 1985."},{"key":"14_CR5","volume-title":"Thermo-mechanical evolution of shape memory alloys","author":"P Colli","year":"1988","unstructured":"P. Colli, M. Fr\u00e9mond, A. Visintin: Thermo-mechanical evolution of shape memory alloys. Pubbl. No. 607, IAN CNR, Pavia, 1988."},{"volume-title":"Martensitic Transformations","year":"1984","key":"14_CR6","unstructured":"L. Delaey, M. Chandrasekaran, Eds.: Martensitic Transformations. Les Editions Physique, Les Ulis, 1984."},{"key":"14_CR7","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/978-1-4613-8704-6_6","volume-title":"Metastability and Incompletely Posed Problems","author":"J Ericksen","year":"1987","unstructured":"J. Ericksen: Twinning of Crystals I. In: S.S. Antman et al., Eds, Metastability and Incompletely Posed Problems, Springer-Verlag, New York, 1987, 77\u201393."},{"key":"14_CR8","unstructured":"F. Falk: Martensitic domain boundaries in shape-memory alloys as solitary waves. In [6]."},{"key":"14_CR9","volume-title":"Free boundary Problems\u2014Theory and Applications V-VI","author":"F Falk","year":"1990","unstructured":"F.Falk: Elastic phase transitions and nonconvex energy functions. In K.-H. Hoffmann, J. Sprekels, Eds, Free boundary Problems\u2014Theory and Applications V-VI, Longman, London, 1990."},{"key":"14_CR10","volume-title":"Free Boundary Problems -Theory and Applications V-VI","author":"M Fr\u00e9mond","year":"1990","unstructured":"M. Fr\u00e9mond: Shape memory alloys. A thermomechanical model. In: K.-H. Hoffmann, J. Sprekels, Eds, Free Boundary Problems -Theory and Applications V-VI, Longman, London, 1990."},{"key":"14_CR11","unstructured":"A. Friedman, J. Sprekels:, to appear."},{"volume-title":"NITINOL Heat Engine Conference Proceedings","year":"1979","key":"14_CR12","unstructured":"D. Goldstein, L. McNamara, Eds.: NITINOL Heat Engine Conference Proceedings. Naval Surface Weapons Center Report No. NSWC MP 79\u2013441, 1979."},{"key":"14_CR13","unstructured":"K.-H. Hoffmann, M. Niezg\u00f3dka, Zheng Songmu: Existence and uniqueness of global solutions to an extended model of the dynamical development in shape memory alloys. Nonlinear Analysis: Theory, Methods & Applications, in print."},{"key":"14_CR14","unstructured":"K.-H. Hoffmann, J. Sprekels: Phase transitions in shape memory alloys I: stability and optimal control. Preprint, Inst. of Mathematics, Univ. Augsburg."},{"key":"14_CR15","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1002\/mma.1670100204","volume":"10","author":"K-H Hoffmann","year":"1988","unstructured":"K.-H. Hoffmann, Zheng Songmu: Uniqueness for structural phase transitions in shape memory alloys. Mathematical Methods in the Applied Sciences, 10 (1988), 145\u2013151.","journal-title":"Mathematical Methods in the Applied Sciences"},{"key":"14_CR16","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1007\/978-1-4613-8704-6_12","volume-title":"Metastability and Incompletely Posed Problems","author":"D Kinderlehrer","year":"1987","unstructured":"D. Kinderlehrer: Twinning of Crystals II. In: S.S. Antman et al., Eds, Metastability and Incompletely Posed Problems, Springer-Verlag, New York, 1987, 185\u2013211."},{"key":"14_CR17","volume-title":"Shape Memory Effect","author":"VA Likhachev","year":"1987","unstructured":"V.A. Likhachev, S.L. Kuz\u2019min, Z.L. Kamenceva: Shape Memory Effect. Leningrad Univ. Press, Leningrad 1987. (in Russian)"},{"key":"14_CR18","volume-title":"Continuum Defect Theory","author":"VA Likhachev","year":"1986","unstructured":"V.A. Likhachev, A.E. Volkov, V.E. Shudegov: Continuum Defect Theory. Leningrad Univ. Press, Leningrad, 1986. (in Russian)"},{"issue":"6","key":"14_CR19","first-page":"68","volume":"27","author":"AI Lotkov","year":"1985","unstructured":"A.I. Lotkov, V.N. Grishkov: Ti-Ni alloy crystallographic structure and phase transformations. Izv. Vuzov, Fizika, 27 (1985), No. 6, 68\u201387.","journal-title":"Izv. Vuzov, Fizika"},{"key":"14_CR20","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/BF00276382","volume":"70","author":"I M\u00fcller","year":"1979","unstructured":"I. M\u00fcller: A model for a body with shape-memory. Archive Rational Mechanics and Analysis, 70 (1979), 61\u201377.","journal-title":"Archive Rational Mechanics and Analysis"},{"key":"14_CR21","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/BF02729036","volume":"57B","author":"I M\u00fcller","year":"1980","unstructured":"I. M\u00fcller, K. Wilma\u0144ski: A model for phase transition in pseudoelastic bodies. II Nuovo Cimento, 57B (1980), 283\u2013318.","journal-title":"II Nuovo Cimento"},{"key":"14_CR22","first-page":"495","volume-title":"Continuum Models for Discrete Systems 4","author":"I M\u00fcller","year":"1981","unstructured":"I. M\u00fcller, K. Wilma\u0144ski: Memory alloys \u2014 phenomenology and Ersatzmodel. In: O. Brulin, R.K.T. Hsieh, Eds, Continuum Models for Discrete Systems 4, North-Holland, Amsterdam, 1981, 495\u2013509."},{"key":"14_CR23","volume-title":"Mathematical Modelling of Phase Transitions","author":"M Niezg\u00f3dka","year":"1985","unstructured":"M. Niezg\u00f3dka: Mathematical Modelling of Phase Transitions. Inst. Mathematics, Univ. Augsburg, 1985."},{"key":"14_CR24","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1002\/mma.1670100302","volume":"10","author":"M Niezg\u00f3dka","year":"1988","unstructured":"M. Niezg\u00f3dka, J. Sprekels: Existence of solutions for a mathematical model of structural phase transitions in shape memory alloys. Mathematical Methods in the Applied Sciences, 10 (1988), 197\u2013223.","journal-title":"Mathematical Methods in the Applied Sciences"},{"key":"14_CR25","unstructured":"M. Niezg\u00f3dka, J. Sprekels: Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys. Submitted to: Numerische Mathematik."},{"key":"14_CR26","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/0022-247X(88)90385-X","volume":"130","author":"M Niezg\u00f3dka","year":"1988","unstructured":"M. Niezg\u00f3dka, Zheng Songmu, J. Sprekels: Global Solutions to a model of structural phase transitions in shape memory alloys. J. Math. Anal. Applications, 130 (1988), 39\u201354.","journal-title":"J. Math. Anal. Applications"},{"key":"14_CR27","volume-title":"Martensitic Transformation","author":"Z Nishiyama","year":"1978","unstructured":"Z. Nishiyama: Martensitic Transformation. Academic Press, New York, 1978."},{"volume-title":"Shape Memory Effects in Alloys","year":"1975","key":"14_CR28","unstructured":"J. Perkins, Ed.: Shape Memory Effects in Alloys. Plenum Press, New York, 1975."},{"key":"14_CR29","first-page":"74","volume-title":"Shape memory alloys","author":"L Schetky","year":"1979","unstructured":"L. Schetky: Shape memory alloys. Scientific American. No. 5 (1979), 74\u201382."},{"key":"14_CR30","unstructured":"J. Sprekels: Global existence for thermomechanical processes with nonconvex free energies of Ginzburg-Landau form. J. Math. Anal. Applications, in print."},{"key":"14_CR31","volume-title":"Inst. Mathematics","author":"T Tiihonen","year":"1988","unstructured":"T. Tiihonen:. Inst. Mathematics, Univ. Augsburg, 1988."},{"key":"14_CR32","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/BF00945313","volume":"40","author":"Z Songmu","year":"1989","unstructured":"Zheng Songmu: Global solutions to thermo-mechanical equations with nonconvex Landau-Ginzburg free energy. J. Appl. Math. Phys. (ZAMP), 40(1989), 111\u2013127.","journal-title":"J. Appl. Math. Phys. (ZAMP)"}],"container-title":["Informatik-Fachberichte","Forum \u201990 Wissenschaft und Technik"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-76123-2_14.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,6]],"date-time":"2021-05-06T08:48:52Z","timestamp":1620290932000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-76123-2_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990]]},"ISBN":["9783540532187","9783642761232"],"references-count":32,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-76123-2_14","relation":{},"ISSN":["0343-3005"],"issn-type":[{"type":"print","value":"0343-3005"}],"subject":[],"published":{"date-parts":[[1990]]}}}