Xin-Lin Gao

Southern Methodist University

Length scaleElasticity (economics)Elasticity (physics)Mathematical analysisFinite element methodvon Mises yield criterionComposite materialBoundary value problemIsotropyHardening (metallurgy)Materials scienceModulusGeometryPlane stressMathematicsMicromechanicsHomogenization (chemistry)MechanicsClassical mechanicsStress (mechanics)

162Publications

42H-index

6,221Citations

Publications 162

Newest

A Generalized Strain Energy-Based Homogenization Method for 2-D and 3-D Cellular Materials with and without Periodicity Constraints

#1A. I. GadH-Index: 4

#2Xin-Lin GaoH-Index: 42

A generalized strain energy-based homogenization method for 2-D and 3-D cellular materials with and without periodicity constraints is proposed using Hill’s Lemma and the matrix method for spatial frames. In this new approach, the equilibrium equations are enforced at all boundary and interior nodes and each interior node is allowed to translate and rotate freely, which differ from existing methods where the equilibrium conditions are imposed only at the boundary nodes. The newly formulated homo...

#1G. Y. Zhang (SEU: Southeast University)H-Index: 12

#2Xin-Lin Gao (SMU: Southern Methodist University)H-Index: 42

Last. Changwen Mi (SEU: Southeast University)H-Index: 2

view all 4 authors...

Abstract null null A new non-classical Bernoulli-Euler (B-E) beam model is developed using a simplified micromorphic elasticity theory. This micromorphic theory, which contains 7 independent material constants, is first proposed by simplifying the classical Eringen-Mindlin micromorphic theory for isotropic linear elastic materials, which includes 18 elastic constants. The new B-L beam model is then formulated by applying the simplified micromorphic theory and employing a variational approach bas...

Band gaps for elastic flexural wave propagation in periodic composite plate structures with star-shaped, transversely isotropic, magneto-electro-elastic inclusions

#1G. Y. Zhang (SEU: Southeast University)H-Index: 12

#2W. Shen (Chongqing University)H-Index: 1

Last. Z.-Q. Xin (Hohai University)H-Index: 1

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A new model for predicting elastic flexural wave band gaps in periodic composite plate structures containing interconnected, star-shaped, transversely isotropic, magneto-electro-elastic (MEE) inclusions is developed using a microstructure-dependent Mindlin plate model. The Floquet–Bloch theorem and the plane wave expansion method for periodic media are employed to solve the non-classical wave equations and to determine the band gaps incorporating the microstructure effect. The current non-classi...

A strain energy-based homogenization method for 2-D and 3-D cellular materials using the micropolar elasticity theory

#1A. I. Gad (SMU: Southern Methodist University)H-Index: 4

#2Xin-Lin Gao (SMU: Southern Methodist University)H-Index: 42

Last. Ke Li (Schlumberger)H-Index: 13

view all 3 authors...

Abstract A new strain energy-based method for homogenization of 2-D and 3-D cellular materials is developed using an extended version of Hill’s Lemma for the non-Cauchy continuum satisfying the micropolar elasticity theory. Both kinematic and mixed boundary conditions (BCs) that obey the Hill-Mandel condition are identified. The newly proposed method requires that the nodal equilibrium equations be explicitly satisfied at all boundary and interior nodes, unlike the existing approach which does n...

A non-classical model for circular cylindrical thin shells incorporating microstructure and surface energy effects

#1G. Y. Zhang (SEU: Southeast University)H-Index: 12

#2Xin-Lin Gao (SMU: Southern Methodist University)H-Index: 42

Last. Andrew G. Littlefield (DA: United States Department of the Army)H-Index: 6

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A non-classical model for circular cylindrical thin shells is developed by using a modified couple stress theory and a surface elasticity theory. The equations of motion and boundary conditions are simultaneously obtained by a variational formulation based on Hamilton’s principle, which provides a unified treatment of the microstructure and surface energy effects. The new non-classical shell model contains one material length scale parameter to capture the microstructure effect and three surface...

Two versions of the extended Hill’s lemma for non-Cauchy continua based on the couple stress theory:

#1A. I. Gad (SMU: Southern Methodist University)H-Index: 4

#2Xin-Lin Gao (SMU: Southern Methodist University)H-Index: 42

Two versions of the extended Hill’s lemma for non-Cauchy continua satisfying the couple stress theory are proposed. Each version can be used to determine two effective elasticity (stiffness) tensor...

A microstructure-dependent Kirchhoff plate model based on a reformulated strain gradient elasticity theory

#1G. Y. Zhang (SEU: Southeast University)H-Index: 12

#2Chenyi Zheng (SEU: Southeast University)H-Index: 3

Last. Xin-Lin Gao (SMU: Southern Methodist University)H-Index: 42

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A new microstructure-dependent non-classical model for Kirchhoff plates is developed by using a reformulated strain gradient elasticity theory that incorporates both the strain gradient and couple ...

#1Y. Q. Li (SMU: Southern Methodist University)H-Index: 5

#2Xin-Lin Gao (SMU: Southern Methodist University)H-Index: 42

Last. J. Q. Zheng (DA: United States Department of the Army)H-Index: 3

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AbstractRoma Plastilina No. 1 (RP # 1) clay has been widely used as a backing material in ballistic tests of body armor. However, the constitutive behavior of RP # 1 clay is still not well characte...

Shear-lag model for discontinuous fiber-reinforced composites with a membrane-type imperfect interface

#1J.-Y. Wang (Hohai University)

#2Chongshi Gu (Hohai University)H-Index: 12

Last. H. Gu (Hohai University)

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A shear-lag model is developed for discontinuous fiber-reinforced composites with a membrane-type imperfect interface, across which the displacement vector is continuous but the traction vector suffers a jump that is governed by the generalized Young–Laplace equation. Closed-form expressions are obtained for the stress fields in both the fiber-reinforced region and the pure matrix regions and for the shear stress on the interface from both the fiber and matrix sides. To illustrate the newly deve...

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