On invariant combinations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si9.svg" display="inline" id="d1e511"><mml:msub><mml:mrow><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:math> coefficients and a novel invariant <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si225.svg" display="inline" id="d1e523"><mml:msub><mml:mrow><mml:mi>I</mml:mi></mml:mrow><mml:mrow><mml:mi>Q</mml:mi></mml:mrow></mml:msub…
نویسندگان
چکیده
Invariants of the plane-stress elasticity stiffness matrix [Q] play a key role in composite design, as they simplify design processes. Multiple invariants have been proposed independently past, such ‘trace’ Tr=trace([Q]) by Tsai and Melo or U1, U4 U5, which are often used context lamination parameters. The present paper presents parametric description rotation-independent (invariant) linear combinations coefficients Qij [Q]. It is shown that aforementioned special cases developed description, novel invariant IQ=Q11+Q22+Q12+Q66 plays key-role.
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ژورنال
عنوان ژورنال: Composites Part C: Open Access
سال: 2023
ISSN: ['2666-6820']
DOI: https://doi.org/10.1016/j.jcomc.2022.100335