A stabilized C1-continuous meshfree approach for size-dependent analysis of functionally graded triply periodic minimal surface microplates

Chúc mừng TS. Thái Hoàng Chiến công bố công trình nghiên cứu trên tạp chí quốc tế uy tín Composite Structures

Viện Công nghệ tiên tiến (IAST), Trường Đại học Tôn Đức Thắng, xin gửi lời chúc mừng đến TS. Thái Hoàng Chiến về công bố quốc tế mới nhất trên Composite Structures

Bài báo có tựa đề: A stabilized C¹-continuous meshfree approach for size-dependent analysis of functionally graded triply periodic minimal surface microplates

Abstract: This paper develops a stabilized C¹-continuous meshfree approach for small-scale-dependent bending and free vibration analyses of functionally graded triply periodic minimal surface (FG-TPMS) microplates. The kinematic field is formulated using a C¹ third-order Chebyshev shear deformation theory coupled with the modified strain gradient theory (MSGT) to rigorously capture size-dependent microstructural size effects. To overcome the long-standing challenge of imposing fully clamped boundary conditions, a novel stabilized constraint technique is introduced by combining the penalty method with a nodal integration scheme. This integration establishes a self-balancing mechanism wherein the inherent softening effect of nodal integration naturally offsets the artificial over-stiffening of penalty constraints, rendering the numerical solution highly insensitive to penalty parameters. Implemented via the Chebyshev moving Kriging meshfree method, the proposed approach is applied to investigate three distinct TPMS topologies including Gyroid (G), I-wrapped package (IWP) and Primitive (P), across various volume fraction distribution profiles and plate geometries. Comprehensive numerical examples reveal a critical scale-dependent inversion in the stiffness hierarchy: while the IWP and P topologies under Pattern I and Pattern II configurations exhibit superior stiffness at the macro-scale, the P topology emerges as the stiffest configuration when micro-scale size effects dominate. Contradicting conventional macro-scale design principles, these findings establish the P-type architecture as the optimal configuration for MEMS/NEMS devices.

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