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    Change of Constitutive Relations due to Interaction Between Strain-Gradient Effect and Material Gradation 

    Source: Journal of Applied Mechanics:;2006:;volume( 073 ):;issue: 005:;page 871
    Author(s): Youn-Sha Chan; Glaucio H. Paulino; Albert C. Fannjiang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: For classical elasticity, the constitutive equations (Hooke’s law) have the same functional form for both homogeneous and nonhomogeneous materials. However, for strain-gradient elasticity, such is ...
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    Gradient Elasticity Theory for Mode III Fracture in Functionally Graded Materials—Part II: Crack Parallel to the Material Gradation 

    Source: Journal of Applied Mechanics:;2008:;volume( 075 ):;issue: 006:;page 61015
    Author(s): Youn-Sha Chan; Glaucio H. Paulino; Albert C. Fannjiang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A Mode-III crack problem in a functionally graded material modeled by anisotropic strain-gradient elasticity theory is solved by the integral equation method. The gradient elasticity theory has ...
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