TWO-DIMENSIONAL FRACTIONAL ORDER GENERALIZED THERMOELASTIC POROUS MATERIAL

Authors

  • HAMDY MAHMOUD YOUSSEF PROFESSOR OF APPLIED MATHEMATICS- UMM AL-QURA UNIVERSITY
  • IBRAHIEM ABBAS KING ABDULAZIZ UNIVERSITY, JEDDAH, SAUDI

Keywords:

FRACTIONAL DERIVATIVE, POROUS MATERIAL, NORMAL MODE ANALYSIS, EIGENVALUE APPROACH

Abstract

IN THE WORK, A TWO-DIMENSIONAL PROBLEM OF A POROUS MATERIAL IS CONSIDERED WITHIN THE CONTEXT OF THE FRACTIONAL ORDER GENERALIZED THERMOELASTICITY THEORY WITH ONE RELAXATION TIME. THE MEDIUM IS ASSUMED INITIALLY QUIESCENT FOR A THERMOELASTIC HALF SPACE WHOSE SURFACE IS TRACTION FREE AND HAS A CONSTANT HEAT FLUX. THE NORMAL MODE ANALYSIS AND EIGENVALUE APPROACH TECHNIQUES ARE USED TO SOLVE THE RESULTING NON-DIMENSIONAL COUPLED EQUATIONS. THE EFFECT OF THE FRACTIONAL ORDER OF THE TEMPERATURE, DISPLACEMENT COMPONENTS, THE STRESS COMPONENTS, CHANGES IN VOLUME FRACTION FIELD AND TEMPERATURE DISTRIBUTION HAVE BEEN DEPICTED GRAPHICALLY.

Author Biography

HAMDY MAHMOUD YOUSSEF, PROFESSOR OF APPLIED MATHEMATICS- UMM AL-QURA UNIVERSITY

B. SC. OF MATHEMATICS, FACULTY OF SCIENCE, ALEXANDRIA UNIVERSITY WITH GRADE OF VERY GOOD WITH HONOR, MAY 1992. DEMONSTRATOR IN THE FACULTY OF EDUCATION MATHEMATICAL DEPARTMENT, ALEXANDRIA UNIVERSITY, 1993-1997. M. SC. OF APPLIED MATHEMATICS, FACULTY OF SCIENCE, ALEXANDRIA UNIVERSITY, MAY 1997. PH. D. OF APPLIED MATHEMATICS, FACULTY OF SCIENCE, ALEXANDRIA UNIVERSITY, MARCH 2003. LECTURER IN THE FACULTY OF EDUCATION, MATHEMATICAL DEPARTMENT, ALEXANDRIA UNIVERSITY, 1997-2003. LECTURER IN THE FACULTY OF ENGINEERING AND TECHNOLOGY OF ARAB ACADEMY FOR SCIENCE AND TECHNOLOGY, (PART TIME) 1996- 2003.ASSISTANT PROFESSOR IN THE FACULTY OF EDUCATION, MATHEMATICAL DEPARTMENT, ALEXANDRIA UNIVERSITY 2003-2004. ASSISTANT PROFESSOR IN THE FACULTY OF ENGINEERING AND TECHNOLOGY OF ARAB ACADEMY FOR SCIENCE AND TECHNOLOGY, (PART TIMER) 2003- 2004.ASSISTANT PROF. IN THE FACULTY OF ENGINEERING, UMM-AL-QURA UNIVERSITY, 2004-2008.ASSOCIATED PROF. IN THE FACULTY OF ENGINEERING, UMM-AL-QURA UNIVERSITY, 2008-2012.PROF. IN THE FACULTY OF ENGINEERING, UMM-AL-QURA UNIVERSITY, 2012.EDITOR-IN-CHIEF JOURNAL OF THERMOELASTICITY, USA. CONSULTANT OF ICRS – SUPERVISOR OF SCIENTIFIC CHAIRS –UQU. MEMBER OF THE EGYPTIAN MATHEMATICAL SOCIETY. MEMBER OF THE SCIENTISTS SOCIETY IN EGYPT. AMERICAN NANO SOCIETY (116616)AMERICAN MATHEMATICAL SOCIETY. EUROPEAN MECHANICS SOCIETY. CHOSEN AS A CANDIDATE FOR INCLUSION IN 2006-2007(9TH) EDITION OF WHO’S WHO IN SCIENCE AND ENGINEERING. 2000 OUTSTANDING INTELLECTUALS OF THE 21ST CENTURY-2006- CAMBRIDGE UNIVERSITY. 21ST CENTURY AWARD FOR ACHIEVEMENT IN SCIENCE AND ENGINEERING, CAMBRIDGE UNIVERSITY, 2006. RESEARCH INTERESTS: APPLIED MATHEMATICS- THERMOELASTICITY- NANO MECHANICS, MORE THAN 70 PUBLISHED PAPERS IN INTERNATIONAL JOURNALS. MORE THAN 15 PAPERS IN INTERNATIONAL CONFERENCES.

Published

2015-02-19

Issue

Section

Articles