Christian Mathew reveals method for analysing multilayered composites

In a groundbreaking development for the analysis of deforestation of multilayered composites subjected to sinusoidal loading conditions, Christian Mathew, a student at Virginia Tech, has introduced an innovative method to forecast the behaviour of multilayered composite plates under diverse conditions.

His research, with profound implications for industries reliant on laminated composites, promises to revolutionise the design and analysis of composite materials.

Composite materials, which amalgamate multiple engineering materials on a macroscopic level, are esteemed for their superior properties.

These materials, especially multilayered composite plates, find extensive use in aerospace, automotive, shipbuilding, and other structural components due to their exceptional strength and tailored engineering properties.

Matthew’s study delves into predicting the 3D deformations of linear elastic, anisotropic rectangular plates composed of various layers with arbitrary thicknesses.

The uniqueness of his approach lies in analysing these plates subjected to sinusoidal mechanical loading under arbitrary boundary conditions.

At the core of Mathew’s research is the development of a least squares finite element model employing a mathematical framework known as a state-space model.

This method enables the simultaneous determination of displacements and stresses within the composite structure’s domain while maintaining continuity conditions at layer interfaces.

The least-squares finite element method (LSFEM) utilized by Mathew minimizes the squares of governing equations and associated side condition residuals across the computational domain.

This novel numerical technique, applied to multilayered composite plates, offers a more accurate prediction of their static behaviour, especially under diverse boundary conditions.

Multilayered composite structures present challenges due to their inherent anisotropy, heterogeneity, and low ratio of transverse shear modulus to the in-plane Young’s modulus.

Matthew’s work tackles these challenges by introducing layerwise variables, treated as independent variables, such as displacements, out-of-plane stresses, and in-plane strains.

Mathew’s model, which allows independent choices of finite element approximating spaces, demonstrates its effectiveness in predicting stresses within laminated composite structures under static mechanical loading.

The numerical results showcased by Mathew attest to the accuracy and reliability of his least squares finite element model, providing valuable insights for engineers and researchers.

Christian Mathew expresses gratitude to the academic community and the National Science Foundation for their support.

His team, motivated by a passion for advancing the mechanics of materials, anticipates exploring additional complexities, including the incorporation of thermal effects, in future research endeavours.

In conclusion, Mathew’s work not only advances the prediction of multilayered composite plate behaviour but also establishes a high standard for integrating numerical techniques and mathematical models in materials science.

As further developments are anticipated from Mathew and his team, it’s evident that the future of composite material analysis is undergoing a transformative phase, thanks to their pioneering efforts.