On the determination of a peridynamic constant in a linear constitutive model

DOI10.1007/s10659-015-9531-8zbMath1329.74011OpenAlexW646027045MaRDI QIDQ905889

Adair Roberto Aguiar

Publication date: 28 January 2016

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-015-9531-8

zbMATH Keywords

free energy functionclassical linear elasticityperidynamic modelnonlocal theoryconstitutive modeling

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Theory of constitutive functions in solid mechanics (74A20)

Related Items

Determination of material properties of a linearly elastic peridynamic material ⋮ Linear peridynamics for triclinic materials ⋮ Peridynamic integrals for strain invariants of homogeneous deformation ⋮ Analytical solutions of peristatics and peridynamics for 3D isotropic materials ⋮ Objectivity of state-based peridynamic models for elasticity ⋮ Higher-order peridynamic material correspondence models for elasticity ⋮ Meso-scale physical modeling of energetic degradation function in the nonlocal macro-meso-scale consistent damage model for quasi-brittle materials

Cites Work

• Analysis of the volume-constrained peridynamic Navier equation of linear elasticity
• Nonlocal constrained value problems for a linear peridynamic Navier equation
• Convergence of peridynamics to classical elasticity theory
• Peridynamic states and constitutive modeling
• A constitutive model for a linearly elastic peridynamic body