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<p>This paper presents a mechanical shear model, denoted as <i>m</i>SM-<i>d</i>, for reinforced concrete beams without shear reinforcement composed of two concrete layers with different mechanical properties. The model extends the mechanical framework previously established for homogeneous concrete by explicitly accounting for the mechanical interaction between layers. Shear resistance is evaluated through a stress-based failure criterion that accounts for two failure mechanisms: (i) vertical shear failure associated with the formation of a critical inclined crack at the neutral axis, and (ii) horizontal shear failure governed by the interface shear strength between concrete layers. The analytical formulation is derived from structural and fracture mechanics principles and incorporates key material and structural parameters of both layers, including elastic modulus, tensile strength, fracture energy, crack width, and crack spacing. Size effects are naturally captured through the fracture-based formulation without empirical calibration. Validation against experimental results for dual-strength and T-shaped beams demonstrates accurate and consistent predictions of shear capacity, confirming the sound mechanical basis and applicability of the proposed model to layered concrete members.</p>

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Mechanical shear model mSM-d for dual-strength concrete beams without shear reinforcement

  • 期刊论文

  • 发表日期：

    2026年6月1日

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  • Ngoc Linh Tran,
  • Dinh Hung Nguyen,
  • Lam Ven Phan

摘要

This paper presents a mechanical shear model, denoted as mSM-d, for reinforced concrete beams without shear reinforcement composed of two concrete layers with different mechanical properties. The model extends the mechanical framework previously established for homogeneous concrete by explicitly accounting for the mechanical interaction between layers. Shear resistance is evaluated through a stress-based failure criterion that accounts for two failure mechanisms: (i) vertical shear failure associated with the formation of a critical inclined crack at the neutral axis, and (ii) horizontal shear failure governed by the interface shear strength between concrete layers. The analytical formulation is derived from structural and fracture mechanics principles and incorporates key material and structural parameters of both layers, including elastic modulus, tensile strength, fracture energy, crack width, and crack spacing. Size effects are naturally captured through the fracture-based formulation without empirical calibration. Validation against experimental results for dual-strength and T-shaped beams demonstrates accurate and consistent predictions of shear capacity, confirming the sound mechanical basis and applicability of the proposed model to layered concrete members.