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Origen a escala de partículas de campos de desplazamiento no afines cuadrupolares en sólidos granulares

Evan P Willmarth¹, Weiwei Jin¹, Dong Wang¹

¹Yale University, Department of Mechanical Engineering, New Haven, Connecticut 06520, USA.

Physical review. E

|December 23, 2025

Resumen

Los defectos estructurales en los empaquetamientos de discos atascados crean campos de desplazamiento no afines. La rotura de contactos interparticulares específicos, alineados con los modos vibracionales, conduce a cuadrupolos efectivos, explicables por Eshelby.

Área de la Ciencia:

Física
Ciencia de Materiales
Mecánica Estadística

Sus antecedentes:

Los empaquetamientos de discos atascados exhiben complejos campos de desplazamiento no afines bajo cizallamiento.
La comprensión de estos campos es crucial para predecir el comportamiento del material.

Objetivo del estudio:

Identificar los defectos estructurales locales que controlan los desplazamientos no afines.
Investigar la emergencia de cuadrupolos efectivos en sistemas de discos cizallados y atascados.

Principales métodos:

Simulaciones de cizallamiento simple atérmicas y cuasistáticas.
Método de la inclusión equivalente de Eshelby (EIM) adaptado para empaquetamientos discretos.
Triangulación de Delaunay para el análisis de rigidez local.

Principales resultados:

Aislados cuadrupolos efectivos emergen con el aumento de la presión.
La formación de cuadrupolos está ligada a la rotura de contactos interparticulares alineados con modos vibracionales de baja frecuencia.
Los campos no afines se reconstruyen como sumas de defectos discretos tipo Eshelby.

Conclusiones:

Los defectos estructurales locales, específicamente las roturas de contacto, dictan el comportamiento no afín.
Los defectos tipo Eshelby proporcionan un marco para comprender la respuesta al cizallamiento en materiales granulares.
La presión influye en la prevalencia de los defectos cuadrupolares.

Palabras clave:

física mecánica de materiales mecánica estadística sistemas granulares transición de fase transición de atasco campos de desplazamiento deformación deformación no afín defectos estructurales método de la inclusión equivalente de Eshelby modos de vibración campos de deformación cuadrupolar

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