journal article·2026-06-20

A Refined Analytical Model Incorporating Fiber Length, Orientation, and Loading‐Angle Effects for Predicting the Young's Modulus of Short Fiber Composites

Jinchuan Liu, Jinfeng Cai, Ruijie Fang, Renye Cai, Guanda Yang, Chenzhong Mu, Fritjof Nilsson, Muchao Qu

Polymer Composites· Volume 47· Issue 12
Publisher page

Abstract

ABSTRACT Predicting the modulus of short fiber‐reinforced composites is complicated by simultaneous variations in fiber length, orientation, and volume fraction during processing. This work refines the classical modified rule of mixtures (MROM) by introducing two concentration‐dependent weighting functions, and , which capture the evolution of effective fiber length, fiber‐fiber interactions, fiber orientation, and loading‐angle effects. A microstructural efficiency coefficient is further incorporated to describe reinforcement degradation from dilute to crowded fiber conditions. The model was validated using ethylene‐vinyl acetate/short carbon fiber composites with fiber volume fractions of 1.37%–16.80%. Young's modulus measured at loading angles of 0°, 45°, and 90° showed excellent agreement with predictions, with the refined formulation outperforming the classical MROM, particularly at higher loading angles. Overall, the refined framework provides a compact and physically grounded framework for accurately predicting stiffness and supports the design and optimization of short fiber‐reinforced polymer systems.
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Research context

OpenAlex topics: Fiber-reinforced polymer composites · Composite Material Mechanics · Mechanical Behavior of Composites

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Automobile and Transportation Engineering Guangdong Polytechnic Normal University Guangzhou China

Institute of Polymer Materials, Friedrich‐Alexander‐University Erlangen‐Nuremberg Erlangen Germany

State Key Laboratory of Advanced Waterproof Materials Beijing Oriental Yuhong Waterproof Technology Co., Ltd. Beijing China

Huizhou Oriental Yuhong Building Materials Co., Ltd. Huizhou China

KTH Royal Institute of Technology School of Chemical Science and Engineering, Fibre and Polymer Technology Stockholm Sweden

FSCN Research Centre Mid Sweden University Sundsvall Sweden

Funding

National Natural Science Foundation of China · Basic and Applied Basic Research Foundation of Guangdong Province

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