This technical brief considers bending stress minimization as a basis for obtaining the optimal Poisson's ratio of simply supported equilateral triangular plates under (a) bending loads at the plate boundary, (b) uniform load throughout the entire plate, and (c) concentrated load at the plate center. Results suggest that the use of auxetic materials is not appropriate for triangular plates under applied bending at the boundary, while mildly auxetic and highly auxetic materials are appropriate for triangular plates under uniform and central point loads, respectively. In addition, obtained results show that the optimal Poisson's ratios for circular and square auxetic plates are not necessarily applicable for triangular plates. The use of auxetic materials offers an additional choice for decreasing bending stresses under specific boundary conditions and loading patterns.
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January 2016
Technical Briefs
Bending Stresses in Triangular Auxetic Plates
Teik-Cheng Lim
Teik-Cheng Lim
School of Science and Technology,
SIM University,
461 Clementi Road,
Singapore S599491
e-mail: alan_tc_lim@yahoo.com
SIM University,
461 Clementi Road,
Singapore S599491
e-mail: alan_tc_lim@yahoo.com
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Teik-Cheng Lim
School of Science and Technology,
SIM University,
461 Clementi Road,
Singapore S599491
e-mail: alan_tc_lim@yahoo.com
SIM University,
461 Clementi Road,
Singapore S599491
e-mail: alan_tc_lim@yahoo.com
Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received February 6, 2015; final manuscript received September 17, 2015; published online October 8, 2015. Assoc. Editor: Toshio Nakamura.
J. Eng. Mater. Technol. Jan 2016, 138(1): 014501 (3 pages)
Published Online: October 8, 2015
Article history
Received:
February 6, 2015
Revised:
September 17, 2015
Citation
Lim, T. (October 8, 2015). "Bending Stresses in Triangular Auxetic Plates." ASME. J. Eng. Mater. Technol. January 2016; 138(1): 014501. https://doi.org/10.1115/1.4031665
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