Effective Properties of Micropolar Laminated Media Under the Influence of Constitutive Property Rotation

Yoanh Espinosa-Almeyda; Reinaldo Rodríguez-Ramos; Jose Antonio Otero; David Guinovart-Sanjuán; Héctor Camacho-Montes; Panters Rodríguez-Bermúdez

doi:10.1007/978-3-031-72900-3_8

Effective Properties of Micropolar Laminated Media Under the Influence of Constitutive Property Rotation

Yoanh Espinosa-Almeyda
, Reinaldo Rodríguez-Ramos
, Jose Antonio Otero
, David Guinovart-Sanjuán
, Héctor Camacho-Montes
, Panters Rodríguez-Bermúdez

The Hormel Institute

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The two-scale asymptotic homogenization method (AHM) is implemented to determine the effective behavior of periodic laminated micropolar elastic composites under perfect contact conditions. The rotation effect of constitutive property on the effective behavior of the composite is also analyzed. From AHM, the main results for centro-symmetric micropolar elastic composites are reported, including the statement of the local problems and the analytical expressions for the effective stiffness and torque properties. In particular, periodic bi-laminated composites are examined. In these composites, one constituent (referred to as layer A) has cubic symmetry with the principal axis of symmetry y₃ and the other constituent is defined with properties that result from a rotation θ of the material properties of layer A in the y₁y₂-plane with respect to y₃-axis. Numerical results are presented and validated. As a result, the effective behavior of the micropolar elastic composite is characterized by the quantity of independent effective moduli.

Original language	English (US)
Title of host publication	Advanced Structured Materials
Publisher	Springer
Pages	143-156
Number of pages	14
DOIs	https://doi.org/10.1007/978-3-031-72900-3_8
State	Published - Oct 24 2024

Publication series

Name	Advanced Structured Materials
Volume	200
ISSN (Print)	1869-8433
ISSN (Electronic)	1869-8441

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Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

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10.1007/978-3-031-72900-3_8

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Espinosa-Almeyda, Y., Rodríguez-Ramos, R., Otero, J. A., Guinovart-Sanjuán, D., Camacho-Montes, H., & Rodríguez-Bermúdez, P. (2024). Effective Properties of Micropolar Laminated Media Under the Influence of Constitutive Property Rotation. In Advanced Structured Materials (pp. 143-156). (Advanced Structured Materials; Vol. 200). Springer. https://doi.org/10.1007/978-3-031-72900-3_8

Espinosa-Almeyda, Y, Rodríguez-Ramos, R, Otero, JA, Guinovart-Sanjuán, D, Camacho-Montes, H & Rodríguez-Bermúdez, P 2024, Effective Properties of Micropolar Laminated Media Under the Influence of Constitutive Property Rotation. in Advanced Structured Materials. Advanced Structured Materials, vol. 200, Springer, pp. 143-156. https://doi.org/10.1007/978-3-031-72900-3_8

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abstract = "The two-scale asymptotic homogenization method (AHM) is implemented to determine the effective behavior of periodic laminated micropolar elastic composites under perfect contact conditions. The rotation effect of constitutive property on the effective behavior of the composite is also analyzed. From AHM, the main results for centro-symmetric micropolar elastic composites are reported, including the statement of the local problems and the analytical expressions for the effective stiffness and torque properties. In particular, periodic bi-laminated composites are examined. In these composites, one constituent (referred to as layer A) has cubic symmetry with the principal axis of symmetry y3 and the other constituent is defined with properties that result from a rotation θ of the material properties of layer A in the y1y2-plane with respect to y3-axis. Numerical results are presented and validated. As a result, the effective behavior of the micropolar elastic composite is characterized by the quantity of independent effective moduli.",

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AU - Espinosa-Almeyda, Yoanh

AU - Rodríguez-Ramos, Reinaldo

AU - Otero, Jose Antonio

AU - Guinovart-Sanjuán, David

AU - Camacho-Montes, Héctor

AU - Rodríguez-Bermúdez, Panters

PY - 2024/10/24

Y1 - 2024/10/24

N2 - The two-scale asymptotic homogenization method (AHM) is implemented to determine the effective behavior of periodic laminated micropolar elastic composites under perfect contact conditions. The rotation effect of constitutive property on the effective behavior of the composite is also analyzed. From AHM, the main results for centro-symmetric micropolar elastic composites are reported, including the statement of the local problems and the analytical expressions for the effective stiffness and torque properties. In particular, periodic bi-laminated composites are examined. In these composites, one constituent (referred to as layer A) has cubic symmetry with the principal axis of symmetry y3 and the other constituent is defined with properties that result from a rotation θ of the material properties of layer A in the y1y2-plane with respect to y3-axis. Numerical results are presented and validated. As a result, the effective behavior of the micropolar elastic composite is characterized by the quantity of independent effective moduli.

AB - The two-scale asymptotic homogenization method (AHM) is implemented to determine the effective behavior of periodic laminated micropolar elastic composites under perfect contact conditions. The rotation effect of constitutive property on the effective behavior of the composite is also analyzed. From AHM, the main results for centro-symmetric micropolar elastic composites are reported, including the statement of the local problems and the analytical expressions for the effective stiffness and torque properties. In particular, periodic bi-laminated composites are examined. In these composites, one constituent (referred to as layer A) has cubic symmetry with the principal axis of symmetry y3 and the other constituent is defined with properties that result from a rotation θ of the material properties of layer A in the y1y2-plane with respect to y3-axis. Numerical results are presented and validated. As a result, the effective behavior of the micropolar elastic composite is characterized by the quantity of independent effective moduli.

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BT - Advanced Structured Materials

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Effective Properties of Micropolar Laminated Media Under the Influence of Constitutive Property Rotation

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