A Micropolar Peridynamic Model for Concrete Structures with Stress and Stretch Failure Criteria

Sau-Soto, Nicolás; Borbón-Almada, Ana Cecilia; Ibarra-Torúa, Gema Karina; García-Moraga, Leny; Ayala-Moreno, Juan Pedro

doi:10.3390/applmech7030058

Open AccessArticle

A Micropolar Peridynamic Model for Concrete Structures with Stress and Stretch Failure Criteria

by

Nicolás Sau-Soto

^*

,

Ana Cecilia Borbón-Almada

,

Gema Karina Ibarra-Torúa

,

Leny García-Moraga

and

Juan Pedro Ayala-Moreno

Department of Civil Engineering and Mines, University of Sonora, Hermosillo 83000, Mexico

^*

Author to whom correspondence should be addressed.

Appl. Mech. 2026, 7(3), 58; https://doi.org/10.3390/applmech7030058

Submission received: 3 June 2026 / Revised: 5 July 2026 / Accepted: 10 July 2026 / Published: 12 July 2026

(This article belongs to the Collection Fracture, Fatigue, and Wear)

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Abstract

A new micropolar peridynamic framework incorporating stress- and stretch-based failure criteria was developed for simulating concrete structures. A nonlocal micropolar peridynamic stress tensor was employed to solve plane stress problems; this approach inherently manages cracks and damage. A direct correspondence was established between the classical constitutive stress–strain tensor and the associated micropolar peridynamic stress tensor for linearly elastic materials. Moreover, in contrast to standard peridynamic models that treat the material horizon as a purely abstract parameter, this research defines the horizon based on Poisson’s ratio, material strength, and fracture toughness. In addition, a numerical matrix-based scheme was implemented to model concrete problems using a nonlinear explicit dynamic relaxation solver. To assess the model’s performance, concrete structures under plane stress were examined. The model’s results align closely with the crack paths and experimental data from physical testing and demonstrate mesh independence. The implementation of the model with stress and stretch failure criteria mitigates spurious boundary effects, ensuring spatial convergence.

Keywords: quasi-brittle materials; bond-based peridynamics; peridynamic stress tensor; peridynamic material horizon; concrete; concrete structures

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MDPI and ACS Style

Sau-Soto, N.; Borbón-Almada, A.C.; Ibarra-Torúa, G.K.; García-Moraga, L.; Ayala-Moreno, J.P. A Micropolar Peridynamic Model for Concrete Structures with Stress and Stretch Failure Criteria. Appl. Mech. 2026, 7, 58. https://doi.org/10.3390/applmech7030058

AMA Style

Sau-Soto N, Borbón-Almada AC, Ibarra-Torúa GK, García-Moraga L, Ayala-Moreno JP. A Micropolar Peridynamic Model for Concrete Structures with Stress and Stretch Failure Criteria. Applied Mechanics. 2026; 7(3):58. https://doi.org/10.3390/applmech7030058

Chicago/Turabian Style

Sau-Soto, Nicolás, Ana Cecilia Borbón-Almada, Gema Karina Ibarra-Torúa, Leny García-Moraga, and Juan Pedro Ayala-Moreno. 2026. "A Micropolar Peridynamic Model for Concrete Structures with Stress and Stretch Failure Criteria" Applied Mechanics 7, no. 3: 58. https://doi.org/10.3390/applmech7030058

APA Style

Sau-Soto, N., Borbón-Almada, A. C., Ibarra-Torúa, G. K., García-Moraga, L., & Ayala-Moreno, J. P. (2026). A Micropolar Peridynamic Model for Concrete Structures with Stress and Stretch Failure Criteria. Applied Mechanics, 7(3), 58. https://doi.org/10.3390/applmech7030058

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A Micropolar Peridynamic Model for Concrete Structures with Stress and Stretch Failure Criteria

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