On the solvability of the singular equation of peridynamics

DOI10.1080/17476933.2019.1565406zbMath1411.45007OpenAlexW2914662984WikidataQ128364242 ScholiaQ128364242MaRDI QIDQ4634055

No author found.

Publication date: 7 May 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1565406

zbMATH Keywords

singular integral operatorintegro-differential equationperidynamics

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Integro-differential operators (47G20)

Related Items (6)

Initial data problem for an equation related to a peridynamic model in a two-dimensional domain ⋮ On hypersingular operators associated with peridynamics ⋮ Well-Posedness and Convergence Analysis of a Nonlocal Model with Singular Matrix Kernel ⋮ On solvability of one singular equation of peridynamics ⋮ The linear peridynamic model in elasticity theory ⋮ On the solvability of the peridynamic equation with a singular kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the problems of peridynamics with special convolution kernels
• Reformulation of elasticity theory for discontinuities and long-range forces
• On some integral equations in Hilbert space with an application to the theory of elasticity
• Peridynamics: A Nonlocal Continuum Theory
• A New Approach for a Nonlocal, Nonlinear Conservation Law
• Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
• A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
• Peridynamics as an Upscaling of Molecular Dynamics

This page was built for publication: On the solvability of the singular equation of peridynamics