{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0524"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0524","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΕΦΑΡΜΟΓΗ ΤΩΝ ΜΕΘΟΔΩΝ ΤΟΥ ΤΕΤΡΑΓΩΝΙΚΟΥ ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΥ ΣΤΑ ΠΡΟΒΛΗΜΑΤΑ ΤΗΣ ΘΕΩΡΙΑΣ ΠΛΑΣΤΙΚΟΤΗΤΑΣ","abstract":"THROUGH THREE DIFFERENT OPTIMIZATION METHODS, THE DISSERTATION SHOWS HOW IT IS POSSIBLE TO STUDY THE PROBLEMS OF THE THEORY OF PLASTICITY IN THEIR INCREMENTALAND HOLONOMIC FORMULATION, BOTH AS MECHANICAL PROBLEMS WHOSE SOLUTION IS SOUGHT AND AS FREE BOUNDARY PROBLEMS BETWEEN ELASTICITY AND PLASTICITY. FIRST THE ALGORITHM OF H. THEIL AND C. VAN DE PANNE HAS BEEN STUDIED. WITH THE DIFFERENCE THAT IT HAS NOT BEEN USED ONLY AS A TOOL FOR THE \"LINEARIZATION\" OF A QUADRATIC OBJECTIVE FUNCTION, BUT ALSO FOR THE STUDY OF THE WAY IN WHICH THE IMPOSITION OF CONSTRAINTS UPON A STRUCTURE INFLUENCES THE SOLUTION OF THE PROBLEM. THE STUDY LEADS TO A STATICAL FORMULATION OF THE THREE THEOREMS OF THE METHOD AND COVERS, FOR THE FIRST TIME, ALL THE CASES OF INCREMENTAL AND HOLONOMIC ELASTOPLASTICANALYSIS. (SHORTENED)","abstract_html":"THROUGH THREE DIFFERENT OPTIMIZATION METHODS, THE DISSERTATION SHOWS HOW IT IS POSSIBLE TO STUDY THE PROBLEMS OF THE THEORY OF PLASTICITY IN THEIR INCREMENTALAND HOLONOMIC FORMULATION, BOTH AS MECHANICAL PROBLEMS WHOSE SOLUTION IS SOUGHT AND AS FREE BOUNDARY PROBLEMS BETWEEN ELASTICITY AND PLASTICITY. FIRST THE ALGORITHM OF H. THEIL AND C. VAN DE PANNE HAS BEEN STUDIED. WITH THE DIFFERENCE THAT IT HAS NOT BEEN USED ONLY AS A TOOL FOR THE "LINEARIZATION" OF A QUADRATIC OBJECTIVE FUNCTION, BUT ALSO FOR THE STUDY OF THE WAY IN WHICH THE IMPOSITION OF CONSTRAINTS UPON A STRUCTURE INFLUENCES THE SOLUTION OF THE PROBLEM. THE STUDY LEADS TO A STATICAL FORMULATION OF THE THREE THEOREMS OF THE METHOD AND COVERS, FOR THE FIRST TIME, ALL THE CASES OF INCREMENTAL AND HOLONOMIC ELASTOPLASTICANALYSIS. (SHORTENED)","abstract_has_math":false,"creators":["Αβδελάς, Άαρών-Άρης","Avdelas, Aaron-Aris"],"institution":"Aristotle University Of Thessaloniki (AUTH)","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1986,"date_issued":"1986","date_published":"1986","updated_at":"2026-07-24T02:25:17Z","subjects":["Ανισοτική μηχανική","ΑΥΞΗΤΙΚΗ ΕΛΑΣΤΟΠΛΑΣΤΙΚΗ ΑΝΑΛΥΣΗ ΤΩΝ ΚΑΤΑΣΚΕΥΩΝ","ΚΥΡΤΗ ΤΕΤΡΑΓΩΝΙΚΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","ΜΗ ΚΥΡΤΗ ΤΕΤΡΑΓΩΝΙΚΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","ΟΛΟΝΟΜΗ ΕΛΑΣΤΟΠΛΑΣΤΙΚΗ ΑΝΑΛΥΣΗ ΤΩΝ ΚΑΤΑΣΚΕΥΩΝ","ΠΟΛΥΕΠΙΠΕΔΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","Πρόβλημα γραμμικής συμπληρωματικότητας","CONVEXQUADRATIC OPTIMIZATION","HOLONOMIC ELASTOPLASTIC STRUCTURAL ANALYSIS","INCREMENTAL ELASTOPLASTIC STRUCTURAL ANALYSIS","Inequality mechanics","Linear complementarity problem","MULTILEVEL OPTIMIZATION","NONONVEX QUADRATIC OPTIMIZATION","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Πολιτικού Μηχανικού","Engineering and Technology","Civil Engineering"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0524"],"render_values":[{"text":"10.12681/eadd/0524","href":"https://doi.org/10.12681/eadd/0524","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0524","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Αβδελάς, Άαρών-Άρης","Avdelas, Aaron-Aris"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1986"]},{"key":"dc:publisher","label":"Institution","values":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Ανισοτική μηχανική","ΑΥΞΗΤΙΚΗ ΕΛΑΣΤΟΠΛΑΣΤΙΚΗ ΑΝΑΛΥΣΗ ΤΩΝ ΚΑΤΑΣΚΕΥΩΝ","ΚΥΡΤΗ ΤΕΤΡΑΓΩΝΙΚΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","ΜΗ ΚΥΡΤΗ ΤΕΤΡΑΓΩΝΙΚΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","ΟΛΟΝΟΜΗ ΕΛΑΣΤΟΠΛΑΣΤΙΚΗ ΑΝΑΛΥΣΗ ΤΩΝ ΚΑΤΑΣΚΕΥΩΝ","ΠΟΛΥΕΠΙΠΕΔΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","Πρόβλημα γραμμικής συμπληρωματικότητας","CONVEXQUADRATIC OPTIMIZATION","HOLONOMIC ELASTOPLASTIC STRUCTURAL ANALYSIS","INCREMENTAL ELASTOPLASTIC STRUCTURAL ANALYSIS","Inequality mechanics","Linear complementarity problem","MULTILEVEL OPTIMIZATION","NONONVEX QUADRATIC OPTIMIZATION","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Πολιτικού Μηχανικού","Engineering and Technology","Civil Engineering"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0524","http://hdl.handle.net/10442/hedi/0524"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["THROUGH THREE DIFFERENT OPTIMIZATION METHODS, THE DISSERTATION SHOWS HOW IT IS POSSIBLE TO STUDY THE PROBLEMS OF THE THEORY OF PLASTICITY IN THEIR INCREMENTALAND HOLONOMIC FORMULATION, BOTH AS MECHANICAL PROBLEMS WHOSE SOLUTION IS SOUGHT AND AS FREE BOUNDARY PROBLEMS BETWEEN ELASTICITY AND PLASTICITY. FIRST THE ALGORITHM OF H. THEIL AND C. VAN DE PANNE HAS BEEN STUDIED. WITH THE DIFFERENCE THAT IT HAS NOT BEEN USED ONLY AS A TOOL FOR THE \"LINEARIZATION\" OF A QUADRATIC OBJECTIVE FUNCTION, BUT ALSO FOR THE STUDY OF THE WAY IN WHICH THE IMPOSITION OF CONSTRAINTS UPON A STRUCTURE INFLUENCES THE SOLUTION OF THE PROBLEM. THE STUDY LEADS TO A STATICAL FORMULATION OF THE THREE THEOREMS OF THE METHOD AND COVERS, FOR THE FIRST TIME, ALL THE CASES OF INCREMENTAL AND HOLONOMIC ELASTOPLASTICANALYSIS. (SHORTENED)","ΜΕΣΑ ΑΠΟ ΤΡΕΙΣ ΧΑΡΑΚΤΗΡΙΣΤΙΚΕΣ ΜΕΘΟΔΟΥΣ ΤΕΤΡΑΓΩΝΙΚΗΣ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗΣ, Η ΔΙΑΤΡΙΒΗ ΔΕΙΧΝΕΙ ΤΟΝ ΤΡΟΠΟ ΜΕ ΤΟΝ ΟΠΟΙΟ ΕΙΝΑΙ ΔΥΝΑΤΗ Η ΜΕΛΕΤΗ ΤΩΝ ΠΡΟΒΛΗΜΑΤΩΝ ΤΗΣ ΠΛΑΣΤΙΚΟΤΗΤΑΣ, ΣΤΗΝ ΑΥΞΗΤΙΚΗ ΚΑΙ ΣΤΗΝ ΟΛΟΝΟΜΗ ΜΟΡΦΗ ΤΟΥΣ, ΤΟΣΟ ΣΑΝ ΜΗΧΑΝΙΚΩΝ ΠΡΟΒΛΗΜΑΤΩΝ ΤΩΝ ΟΠΟΙΩΝ ΖΗΤΕΙΤΑΙ Η ΛΥΣΗ ΟΣΟ ΚΑΙ ΣΑΝ ΠΡΟΒΛΗΜΑΤΩΝ ΕΛΕΥΘΕΡΟΥ ΣΥΝΟΡΟΥ ΜΕΤΑΞΥ ΕΛΑΣΤΙΚΟΤΗΤΑΣ ΚΑΙ ΠΛΑΣΤΙΚΟΤΗΤΑΣ. ΠΡΩΤΑ ΜΕΛΕΤΗΘΗΚΕ Ο ΑΛΓΟΡΙΘΜΟΣ ΤΩΝ H. THEIL ΚΑΙ C. VAN DE PANNE. ΜΕ ΤΗ ΔΙΑΦΟΡΑ ΟΤΙ ΔΕΝ ΧΡΗΣΙΜΟΠΟΙΗΘΗΚΕ ΜΟΝΟ ΣΑΝ ΕΡΓΑΛΕΙΟ ΓΙΑ ΤΗ \"ΓΡΑΜΜΙΚΟΠΟΙΗΣΗ\" ΕΝΟΣ ΠΡΟΒΛΗΜΑΤΟΣ ΤΕΤΡΑΓΩΝΙΚΟΥ ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΥ ΑΛΛΑ ΚΑΙ ΓΙΑ ΤΗ ΜΕΛΕΤΗ ΤΟΥ ΤΡΟΠΟΥ ΜΕ ΤΟΝ ΟΠΟΙΟ Η ΕΠΙΒΟΛΗ ΚΑΤΑΝΑΓΚΑΣΜΩΝ ΣΤΗΝ ΚΑΤΑΣΚΕΥΗ ΠΟΥ ΕΞΕΤΑΖΕΤΑΙ ΕΠΙΔΡΑ ΣΤΗ ΛΥΣΗ ΤΟΥ ΠΡΟΒΛΗΜΑΤΟΣ. Η ΜΕΛΕΤΗ ΑΥΤΗ, ΠΟΥ ΟΔΗΓΕΙ ΣΕ ΜΙΑ ΣΤΑΤΙΚΟΠΟΙΗΣΗ ΤΩΝ ΤΡΙΩΝ ΘΕΩΡΗΜΑΤΩΝ ΤΗΣ ΜΕΘΟΔΟΥ, ΚΑΛΥΠΤΕΙ ΓΙΑ ΠΡΩΤΗ ΦΟΡΑ ΟΛΕΣ ΤΙΣ ΠΕΡΙΠΤΩΣΕΙΣ ΤΗΣ ΑΥΞΗΤΙΚΗΣ ΚΑΙ ΤΗΣ ΟΛΟΝΟΜΗΣ ΕΛΑΣΤΟΠΛΑΣΤΙΚΗΣ ΑΝΑΛΥΣΗΣ. (ΠΕΡΙΚΟΠΗ)"]},{"key":"dc:title","label":"Title","values":["ΕΦΑΡΜΟΓΗ ΤΩΝ ΜΕΘΟΔΩΝ ΤΟΥ ΤΕΤΡΑΓΩΝΙΚΟΥ ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΥ ΣΤΑ ΠΡΟΒΛΗΜΑΤΑ ΤΗΣ ΘΕΩΡΙΑΣ ΠΛΑΣΤΙΚΟΤΗΤΑΣ","APPLICATION OF THE QUADRATIC PROGRAMMING METHODS IN THE PROBLEMS OF THE THEORY OF PLASTICITY"]}]}],"canonical_facts":{"dc:creator":["Αβδελάς, Άαρών-Άρης","Avdelas, Aaron-Aris"],"dc:date":["1986"],"dc:description":["THROUGH THREE DIFFERENT OPTIMIZATION METHODS, THE DISSERTATION SHOWS HOW IT IS POSSIBLE TO STUDY THE PROBLEMS OF THE THEORY OF PLASTICITY IN THEIR INCREMENTALAND HOLONOMIC FORMULATION, BOTH AS MECHANICAL PROBLEMS WHOSE SOLUTION IS SOUGHT AND AS FREE BOUNDARY PROBLEMS BETWEEN ELASTICITY AND PLASTICITY. FIRST THE ALGORITHM OF H. THEIL AND C. VAN DE PANNE HAS BEEN STUDIED. WITH THE DIFFERENCE THAT IT HAS NOT BEEN USED ONLY AS A TOOL FOR THE \"LINEARIZATION\" OF A QUADRATIC OBJECTIVE FUNCTION, BUT ALSO FOR THE STUDY OF THE WAY IN WHICH THE IMPOSITION OF CONSTRAINTS UPON A STRUCTURE INFLUENCES THE SOLUTION OF THE PROBLEM. THE STUDY LEADS TO A STATICAL FORMULATION OF THE THREE THEOREMS OF THE METHOD AND COVERS, FOR THE FIRST TIME, ALL THE CASES OF INCREMENTAL AND HOLONOMIC ELASTOPLASTICANALYSIS. (SHORTENED)","ΜΕΣΑ ΑΠΟ ΤΡΕΙΣ ΧΑΡΑΚΤΗΡΙΣΤΙΚΕΣ ΜΕΘΟΔΟΥΣ ΤΕΤΡΑΓΩΝΙΚΗΣ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗΣ, Η ΔΙΑΤΡΙΒΗ ΔΕΙΧΝΕΙ ΤΟΝ ΤΡΟΠΟ ΜΕ ΤΟΝ ΟΠΟΙΟ ΕΙΝΑΙ ΔΥΝΑΤΗ Η ΜΕΛΕΤΗ ΤΩΝ ΠΡΟΒΛΗΜΑΤΩΝ ΤΗΣ ΠΛΑΣΤΙΚΟΤΗΤΑΣ, ΣΤΗΝ ΑΥΞΗΤΙΚΗ ΚΑΙ ΣΤΗΝ ΟΛΟΝΟΜΗ ΜΟΡΦΗ ΤΟΥΣ, ΤΟΣΟ ΣΑΝ ΜΗΧΑΝΙΚΩΝ ΠΡΟΒΛΗΜΑΤΩΝ ΤΩΝ ΟΠΟΙΩΝ ΖΗΤΕΙΤΑΙ Η ΛΥΣΗ ΟΣΟ ΚΑΙ ΣΑΝ ΠΡΟΒΛΗΜΑΤΩΝ ΕΛΕΥΘΕΡΟΥ ΣΥΝΟΡΟΥ ΜΕΤΑΞΥ ΕΛΑΣΤΙΚΟΤΗΤΑΣ ΚΑΙ ΠΛΑΣΤΙΚΟΤΗΤΑΣ. ΠΡΩΤΑ ΜΕΛΕΤΗΘΗΚΕ Ο ΑΛΓΟΡΙΘΜΟΣ ΤΩΝ H. THEIL ΚΑΙ C. VAN DE PANNE. ΜΕ ΤΗ ΔΙΑΦΟΡΑ ΟΤΙ ΔΕΝ ΧΡΗΣΙΜΟΠΟΙΗΘΗΚΕ ΜΟΝΟ ΣΑΝ ΕΡΓΑΛΕΙΟ ΓΙΑ ΤΗ \"ΓΡΑΜΜΙΚΟΠΟΙΗΣΗ\" ΕΝΟΣ ΠΡΟΒΛΗΜΑΤΟΣ ΤΕΤΡΑΓΩΝΙΚΟΥ ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΥ ΑΛΛΑ ΚΑΙ ΓΙΑ ΤΗ ΜΕΛΕΤΗ ΤΟΥ ΤΡΟΠΟΥ ΜΕ ΤΟΝ ΟΠΟΙΟ Η ΕΠΙΒΟΛΗ ΚΑΤΑΝΑΓΚΑΣΜΩΝ ΣΤΗΝ ΚΑΤΑΣΚΕΥΗ ΠΟΥ ΕΞΕΤΑΖΕΤΑΙ ΕΠΙΔΡΑ ΣΤΗ ΛΥΣΗ ΤΟΥ ΠΡΟΒΛΗΜΑΤΟΣ. Η ΜΕΛΕΤΗ ΑΥΤΗ, ΠΟΥ ΟΔΗΓΕΙ ΣΕ ΜΙΑ ΣΤΑΤΙΚΟΠΟΙΗΣΗ ΤΩΝ ΤΡΙΩΝ ΘΕΩΡΗΜΑΤΩΝ ΤΗΣ ΜΕΘΟΔΟΥ, ΚΑΛΥΠΤΕΙ ΓΙΑ ΠΡΩΤΗ ΦΟΡΑ ΟΛΕΣ ΤΙΣ ΠΕΡΙΠΤΩΣΕΙΣ ΤΗΣ ΑΥΞΗΤΙΚΗΣ ΚΑΙ ΤΗΣ ΟΛΟΝΟΜΗΣ ΕΛΑΣΤΟΠΛΑΣΤΙΚΗΣ ΑΝΑΛΥΣΗΣ. (ΠΕΡΙΚΟΠΗ)"],"dc:identifier":["10.12681/eadd/0524","http://hdl.handle.net/10442/hedi/0524"],"dc:language":["gre"],"dc:publisher":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"],"dc:subject":["Ανισοτική μηχανική","ΑΥΞΗΤΙΚΗ ΕΛΑΣΤΟΠΛΑΣΤΙΚΗ ΑΝΑΛΥΣΗ ΤΩΝ ΚΑΤΑΣΚΕΥΩΝ","ΚΥΡΤΗ ΤΕΤΡΑΓΩΝΙΚΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","ΜΗ ΚΥΡΤΗ ΤΕΤΡΑΓΩΝΙΚΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","ΟΛΟΝΟΜΗ ΕΛΑΣΤΟΠΛΑΣΤΙΚΗ ΑΝΑΛΥΣΗ ΤΩΝ ΚΑΤΑΣΚΕΥΩΝ","ΠΟΛΥΕΠΙΠΕΔΗ ΒΕΛΤΙΣΤΟΠΟΙΗΣΗ","Πρόβλημα γραμμικής συμπληρωματικότητας","CONVEXQUADRATIC OPTIMIZATION","HOLONOMIC ELASTOPLASTIC STRUCTURAL ANALYSIS","INCREMENTAL ELASTOPLASTIC STRUCTURAL ANALYSIS","Inequality mechanics","Linear complementarity problem","MULTILEVEL OPTIMIZATION","NONONVEX QUADRATIC OPTIMIZATION","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Πολιτικού Μηχανικού","Engineering and Technology","Civil Engineering"],"dc:title":["ΕΦΑΡΜΟΓΗ ΤΩΝ ΜΕΘΟΔΩΝ ΤΟΥ ΤΕΤΡΑΓΩΝΙΚΟΥ ΠΡΟΓΡΑΜΜΑΤΙΣΜΟΥ ΣΤΑ ΠΡΟΒΛΗΜΑΤΑ ΤΗΣ ΘΕΩΡΙΑΣ ΠΛΑΣΤΙΚΟΤΗΤΑΣ","APPLICATION OF THE QUADRATIC PROGRAMMING METHODS IN THE PROBLEMS OF THE THEORY OF PLASTICITY"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:17Z"}