03632nam a22005055i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001700167072002300184072001600207100008100223245018700304250001800491264006900509300006400578336002600642337002600668338003600694347002400730490005300754505015100807520159100958650002402549650001202573650002502585650004002610650002402650650002102674650002502695650003702720650002402757700007802781710003402859773002602893776003602919776003602955776003602991830005303027856004603080978-3-031-67488-4DE-He21320251030113135.0cr nn 008mamaa241010s2024    sz |    s    |||| 0|eng d  a97830316748847 a10.1007/978-3-031-67488-42doi 4aTA349-359 7aTGMD2bicssc 7aSCI0960002bisacsh 7aTGMD2thema1 aÖchsner, Andreas.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut12aA Numerical Approach to the Micromechanics of Fibre-Reinforced Laminaeh[electronic resource] :bThe Micromechanics Analysis Tool—MMAT v1.0 /cby Andreas Öchsner, Resam Makvandi.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXII, 98 p. 48 illus., 39 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aAdvanced Structured Materials,x1869-8441 ;v2180 aIntroduction -- Prediction of Elastic Properties of Laminae -- Micromechanics Analysis Tool – MMAT v1.0 -- Application Examples -- Source Codes.  aThis book treats the micromechanics of laminae, i.e., the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations. In detail, predictions for the modulus of elasticity in and transverse to the fiber direction, the major Poisson’s ratio, as wells as the in-plane shear modulus are provided. The mechanics of materials approach, the elasticity solutions with contiguity after Tsai, and the Halpin-Tsai relationships, are presented in detail. Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical engineering materials. Particularly the combination of a matrix with fibers provides far better properties than the single constituents alone. A typical basic layer, the so-called lamina, can be composed of unidirectional fibers which are embedded in a matrix. In a second step, layers of laminae may be stacked under different fiber angles to a so-called laminate, which reveals—depending on the stacking sequence—different types of anisotropy/isotropy. A Python-based computational tool is provided, the so-called Micromechanics Analysis Tool (MMAT v1.0) to easily predict the elastic properties. The tool runs in any standard web browser and offers a user-friendly interface with many graphical representations of the elastic properties as a function of the fiber volume fraction. 0aMechanics, Applied. 0aSolids. 0aContinuum mechanics. 0aMaterials sciencexData processing. 0aNumerical analysis.14aSolid Mechanics.24aContinuum Mechanics.24aComputational Materials Science.24aNumerical Analysis.1 aMakvandi, Resam.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303167487708iPrinted edition:z978303167489108iPrinted edition:z9783031674907 0aAdvanced Structured Materials,x1869-8441 ;v21840uhttps://doi.org/10.1007/978-3-031-67488-4