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Modeling of Multilayered Disc Subjected to Biaxial Flexure Tests

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Handbook of Mechanics of Materials

Abstract

Although standard test methods for biaxial strength measurements of ceramics have been established and the corresponding formulas for relating the biaxial strength to the fracture load have been approved by the American Society for Testing and Materials (ASTM) and International Organization for Standardization, respectively, they are limited to the case of monolayered discs. Despite the increasing applications of multilayered ceramics, characterization of their strengths using biaxial flexure tests has been difficult because the analytical description of the relation between the strength and the fracture load for multilayers subjected to biaxial flexure tests is unavailable until recently. Using ring-on-ring tests as an example, the closed-form solutions for stresses in (i) monolayered discs based on ASTM formulas, (ii) bilayered discs based on Roark’s formulas, (iii) multilayered discs based on Hsueh et al.’s rigorous formulas, and (iv) multilayered discs based on Hsueh et al.’s simplified formulas are reviewed in this chapter. Finite element results for ring-on-ring tests performed on (i) zirconia monolayered discs, (ii) dental crown materials of porcelain/zirconia bilayered discs, and (iii) solid oxide fuel cell trilayered discs are also presented to validate the closed-form solutions. Finally, a case study of layer thickness effects in bilayered dental ceramics subjected to both thermal stresses and ring-on-ring tests is presented.

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Acknowledgments

The work was performed mainly at Oak Ridge National Laboratory and supported by US Department of Energy, Division of Materials Sciences and Engineering, Office of Basic Energy, under Contract No. DE-AC05-00OR22725 with UT-Battelle, LLC. This chapter was compiled at National Taiwan University and supported by the Ministry of Science and Technology, Taiwan, under Contract No. MOST 103-2221-E-002-076-MY3.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, National Taiwan University, Taipei, Taiwan

    Chun-Hway Hsueh

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  1. Chun-Hway Hsueh
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Correspondence to Chun-Hway Hsueh .

Editor information

Editors and Affiliations

  1. Materials Science and Strength of Materials, University of Stuttgart Institute for Materials Testing, Stuttgart, Germany

    Siegfried Schmauder

  2. Department of Civil Engineering, National Taiwan University Department of Civil Engineering, Taipei, T´ai-pei, Taiwan

    Chuin-Shan Chen

  3. BEC 254, University of Alabama at Birmingham, Birmingham, Alabama, USA

    Krishan K. Chawla

  4. Fulton School of Engineering, Arizona State University, Tempe, Arizona, USA

    Nikhilesh Chawla

  5. Engineering Mechanics, Zhejiang University Engineering Mechanics, Hangzhou, China

    Weiqiu Chen

  6. Katayanagi Advanced Research Laboratorie, Tokyo University of Technology Katayanagi Advanced Research Laboratorie, Tokyo, Japan

    Yutaka Kagawa

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Hsueh, CH. (2018). Modeling of Multilayered Disc Subjected to Biaxial Flexure Tests. In: Schmauder, S., Chen, CS., Chawla, K., Chawla, N., Chen, W., Kagawa, Y. (eds) Handbook of Mechanics of Materials. Springer, Singapore. https://doi.org/10.1007/978-981-10-6855-3_69-1

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  • DOI: https://doi.org/10.1007/978-981-10-6855-3_69-1

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  • Print ISBN: 978-981-10-6855-3

  • Online ISBN: 978-981-10-6855-3

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