### Approximation of a martensitic laminate with varying volume fractions

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We give results for the approximation of a laminate with varying volume fractions for multi-well energy minimization problems modeling martensitic crystals that can undergo either an orthorhombic to monoclinic or a cubic to tetragonal transformation. We construct energy minimizing sequences of deformations which satisfy the corresponding boundary condition, and we establish a series of error bounds in terms of the elastic energy for the approximation of the limiting macroscopic deformation and...

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In this article, we give several differentiation and integrability formulas of special and composite functions including trigonometric function, and polynomial function.

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