Some engineering and mathematical aspects on the homogenization method

• Effective properties and local stress variations of elastic fiber composites are studied by means of the homogenization method. Two different methods, “the displacement method” and “the force method”, for solving the so called cell problem are derived, applied and compared. Numerical results for three different types of representative volume elements are presented. We also calculate the effective moduli of a unidirectional fiber composite for different volume fractions of fibers. The numerical results are discussed and compared with the Hashin-Shtrikman bounds.

Ämnesord

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Matematik

Mathematics

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