Η ΕΦΑΡΜΟΓΗ ΤΗΣ ΣΥΜΜΟΡΦΟΥ ΑΠΕΙΚΟΝΙΣΕΩΣ ΣΤΑ ΠΕΠΕΡΑΣΜΕΝΑ ΣΤΟΙΧΕΙΑ ΓΙΑ ΤΗΝ ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΡΩΓΜΩΝ

USING A CONFORMAL MAPPING, THE SINGULAR STRESS FIELD AROUND CRACK TIPS IS TRANSFORMED TO A REGULAR ONE WITH RESPECT TO THE NEW VARIABLES. THUS, THE DISPLACEMENT FIELD IS APPROXIMATED IN THE MAPPED PLANE. THE INVERSE MAPPING GIVES SHAPE FUNCTIONS WHICH ARE NOT POLYNOMIALS. THE STRAIN FIELD, OBTAINED AFTER A DERIVATION OF THE DISPLACEMENT FIELD, HAS THE APPROPRIATE SQUARE ROOT SINGULARITY. THE ELEMENTS CONSTRUCTED BY USING THIS PROCEDURE ARE CALLED "MAPPED ELEMENTS". GEOMETRICAL DISCONTINUITIES CREATE SINGULAR FIELDS. FOR THE CONFRONTATION OF SUCH SINGULARITIES, A GRADUAL CONCENTRATION OF THE FINITE ELEMENT MESH IS NEEDED AROUND THE POINT OF GEOMETRICAL DISCONTINUITY. THE AUTOMATIC GENERATION OF AN OPTIMAL MESH IS OBTAINED BY USING A SCHWARZ-CHRISTOFFEL CONFORMAL TRANSFORMATION.

Grantor dc:publisher

National Technical University of Athens (NTUA)

Year dc:date

1987

Authors dc:creator

• Giannakopoulos, Antonios
• Γιαννακόπουλος, Αντώνιος

• Asymptotics
• CONFORMAL MAPPING
• CRACK-TIP ELEMENTS
• Finite elements
• Fractures
• MAPPED ELEMENTS
• OPTIMUM MESH
• ΑΠΕΙΚΟΝΙΣΜΕΝΑ ΣΤΟΙΧΕΙΑ
• Ασυμπτωτική ανάλυση
• ΒΕΛΤΙΣΤΟΣ ΚΑΝΝΑΒΟΣ
• ΕΙΔΙΚΑ ΣΤΟΙΧΕΙΑ
• ΜΗΧΑΝΙΚΗ ΤΩΝ ΡΩΓΜΩΝ
• Πεπερασμένα στοιχεία
• ΣΥΜΜΟΡΦΗ ΑΠΕΙΚΟΝΙΣΗ
• Επιστήμες Μηχανικού και Τεχνολογία
• Επιστήμη Πολιτικού Μηχανικού
• Engineering and Technology
• Civil Engineering

Language dc:language

gre

Identifier

10.12681/eadd/0693

OAI identifier oai:identifier

oai:10442/0693