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

Youn-Sha Chan | Zendy; Gláucio H. Paulino | Zendy; Albert Fannjiang | Zendy

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

Author(s) -

Youn-Sha Chan,

Gláucio H. Paulino,

Albert Fannjiang

Publication year - 2005

Publication title -

journal of applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 97

eISSN - 1528-9036

pISSN - 0021-8936

DOI - 10.1115/1.2041658

Subject(s) - gradation , elasticity (physics) , constitutive equation , cauchy elastic material , strain energy density function , infinitesimal strain theory , levy–mises equations , mathematical analysis , strain energy , homogeneous , partial differential equation , mechanics , materials science , classical mechanics , mathematics , physics , finite element method , thermodynamics , composite material , computer science , computer vision , stress intensity factor

For classical elasticity, the constitutive equations (Hooke’s law) have the same functional form for both homogeneous and nonhomogeneous materials. However, for straingradient elasticity, such is not the case. This paper shows that for strain-gradient elasticity with volumetric and surface energy (Casal’s continuum), extra terms appear in the constitutive equations which are associated with the interaction between the material gradation and the nonlocal effect of strain gradient. The corresponding governing partial differential equations are derived and their solutions are discussed. DOI: 10.1115/1.2041658

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