STRESS STATE AT THE VERTEX OF A COMPOSITE WEDGE, ONE SIDE OF WHICH SLIDES WITHOUT FRICTION ALONG A RIGID SURFACE

Authors

Keywords:

COMPOSITE STRUCTURES, NON-CLASSICAL TASKS, SINGULAR POINTS, MATERIAL POINT, REPRESENTATIVE VOLUME.

Abstract

THIS ARTICLE PROPOSES THE NEW CONCEPT OF STUDYING THE STRESS-STRAIN STATE AT SINGULAR POINT AND IT’S NEIGHBOURHOOD. THE SINGULAR POINT IS CONSIDERED AS A MATERIAL POINT, EQUIVALENT TO A BODY REPRESENTATIVE VOLUME. THIS APPROACH ALLOWS TO SET STRESS-STRAIN RESTRICTIONS AT SINGULAR MATERIAL POINT AND TO FIND SOLUTION AGREED WITH RESTRICTIONS. NUMBER OF INDEPENDENT RESTRICTIONS AT SINGULAR MATERIAL POINT, AS A RULE, EXCEEDS NUMBER OF RESTRICTIONS IN CONVENTIONAL BOUNDARY POINT. THIS MAKES CONSIDERED TASK NON-CLASSICAL. THE PROPOSED APPROACH ALLOWS TO IDENTIFY THE CRITICAL COMBINATIONS OF MATERIAL AND GEOMETRIC PARAMETERS OF COMPOSITE WEDGE THAT DEFINE THE SINGULARITY OF STRESS AND STRAIN FIELDS CLOSE TO SINGULAR MATERIAL POINT. SOLUTIONS THAT ARE BUILT ON THE BASIS OF A NEW CONCEPT DIFFER SIGNIFICANTLY FROM THE ASYMPTOTIC SOLUTIONS RIGHT IN A SINGULAR POINT AND ITS SMALL NEIGHBOURHOOD. BEYOND A SMALL NEIGHBOURHOOD OF A SINGULAR POINT THE SOLUTIONS OBTAINED ON THE BASIS OF BOTH CONCEPTS COINCIDE

Author Biographies

VALERY MIHAYLOVICH PESTRENIN, PERM STATE NATIONAL RESEARCH UNIVERSITY

PHD IN PHYSICAL AND MATHEMATICAL SCIENCES, ASSOCIATE PROFESSOR, DEPARTMENT OF CONTINUUM MECHANICS AND COMPUTING TECHNOLOGIES PERM STATE NATIONAL RESEARCH UNIVERSITY

IRENA PESTRENINA, PERM STATE NATIONAL RESEARCH UNIVERSITY

PHD IN TECHNICAL SCIENCES, ASSOCIATE PROFESSOR, DEPARTMENT OF CONTINUUM MECHANICS AND COMPUTING TECHNOLOGIES PERM STATE NATIONAL RESEARCH UNIVERSITY

LIDIA LANDIK, PERM STATE NATIONAL RESEARCH UNIVERSITY

ENGINEER-PROGRAMMER, DEPARTMENT OF CONTINUUM MECHANICS AND COMPUTING TECHNOLOGIES PERM STATE NATIONAL RESEARCH UNIVERSITY (614990, BUKIREVA STRET, 15, PERM, RUSSIAN FEDERATION

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Published

2017-08-26

Issue

Vol. 14 No. 11 (2017)

Section

Articles

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