Damage dynamics, rate laws, and failure statistics via Hamilton's principle

DOI10.1007/s11012-014-0055-2zbMath1329.74151OpenAlexW2092545827MaRDI QIDQ890403

Qiang Li, Joseph Cusumano, Arjun Roy

Publication date: 10 November 2015

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-014-0055-2

zbMATH Keywords

method of averagingHamilton's principledamage dynamicsfailure statisticsrate laws

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05)

Related Items (1)

A Study of Brain Biomechanics Using Hamilton’s Principle: Application to Hydrocephalus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• From gradient damage laws to Griffith's theory of crack propagation
• Free vibration analysis of quadrilateral nanoplates based on nonlocal continuum models using the Galerkin method: the effects of small scale
• Gradient damage models: toward full-scale computations
• A phase-field description of dynamic brittle fracture
• Positive solutions for a class of equations with a \(p\)-Laplace like operator and weights
• Introduction to continuum mechanics for engineers
• Nonlinear differential equations and dynamical systems
• Elastic moduli of a cracked solid
• A universal physically consistent definition of material damage
• Continuum theory of thermally induced phase transitions based on an order parameter
• Dynamic solid-solid transitions with phase characterized by an order parameter
• On the constitutive relations of materials with evolving microstructure due to microcracking
• Steps towards a qualitative dynamics of damage evolution
• Generalized continuum theories: application to stress analysis in bone
• An introduction to continuum mechanics
• Gradient-enhanced damage modelling of high-cycle fatigue
• A Course on Damage Mechanics
• VI. The phenomena of rupture and flow in solids
• A predictive, size-dependent continuum model for dense granular flows
• Phase space warping: nonlinear time-series analysis for slowly drifting systems
• The Mathematical Theory of Finite Element Methods
• Solid Mechanics
• Averaging methods in nonlinear dynamical systems
• Nonlocal elasticity and related variational principles

This page was built for publication: Damage dynamics, rate laws, and failure statistics via Hamilton's principle