VIBRATION OF GOLD NANO BEAM IN CONTEXT OF TWO-TEMPERATURE GENERALIZED THERMOELASTICITY SUBJECTED TO LASER PULSE

Authors

  • HAMDY MAHMOUD YOUSSEF PROFESSOR OF APPLIED MATHEMATICS- UMM AL-QURA UNIVERSITY
  • ALAA EL-BARY BASIC AND APPLIED SCIENCE DEPARTMENT-ARAB ACADEMY OF SCIENCE AND TECHNOLOGY- PO. BOX 1029-ALEXANDRIA, EGYPT.
  • KHALED ELSIBAI FACULTY OF APPL. SCI.- MATH. DEPT. UMM AL-QURA UNIVERSITY-MAKKAH-SAUDí ARABIA.

Keywords:

TWO-TEMPERATURE THERMOELASTICITY, EULER€“BERNOULLI EQUATION, GOLD NANO-BEAM, STATE-SPACE APPROACH, LASER PULSE

Abstract

IN THE PRESENT WORK, THE MODEL OF VIBRATION OF GOLD NANO- BEAM INDUCED BY LASER PULSE HEATING IS DEVELOPED IN THE CONTEXT OF TWO-TEMPERATURE GENERALIZED THERMOELASTICITY AND NON-FOURIER HEAT CONDUCTION. THE ANALYTIC SOLUTION HAS BEEN DERIVED IN THE LAPLACE TRANSFORM DOMAIN. THE INVERSE LAPLACE TRANSFORM HAS BEEN CALCULATED NUMERICALLY AND THE NUMERICAL RESULTS HAVE BEEN PRESENTED GRAPHICALLY IN TWO AND THREE DIMENSIONS FIGURES WITH SOME COMPARISONS TO STAND ON THE EFFECTS OF THE TWO-TEMPERATURE PARAMETER AND THE LASER PULSE PARAMETERS ON ALL THE STUDYING FIELDS AND WHICH ONE OF THAT PARAMETERS PLAYS A VITAL ROLE IN THE DAMPING OF THE ENERGY WHICH HAS BEEN GENERATED INSIDE THE BEAM.

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.

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Published

2015-01-22

Issue

Vol. 11 No. 13 (2014)

Section

Articles

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