A time spectral numerical manifold method for efficient elastodynamic analysis

doi:10.1016/j.ijsolstr.2026.113930

A time spectral numerical manifold method for efficient elastodynamic analysis

2026-03-03

0

PRE

AI

DOI：10.1016/j.ijsolstr.2026.113930

Original

Original request for help

Save

Abstract

En 中文

This paper proposes a hybrid numerical framework that integrates the spectral integration technique into the numerical manifold method for accurate and efficient elastodynamic analysis. Based on Gaussian quadrature and orthogonal polynomial expansions, the solution accuracy can be systematically improved with an increase in the number of Gaussian points, and in principle, arbitrary-order temporal discretization accuracy can be achieved. A major strength of this approach lies in overcoming strict time step limitations, thus ensuring high accuracy and stability even with coarse temporal discretization. Spatial discretization of the dynamic equilibrium equation is performed within the numerical manifold method, where the dual cover system decouples the mathematical cover from the physical boundaries, offering superior flexibility in addressing problems with complex geometries. A series of benchmark examples involving transient loading and complex geometries are investigated. The results verify the applicability of the proposed method under diverse mechanical conditions, demonstrate its superior performance in terms of solution accuracy and computational cost, and thus confirm it as a competitive alternative for elastodynamic analysis.

Keywords:

Time spectral method

Numerical manifold method

Elastodynamic analysis

Temporal discretization

Spatial discretization

A time spectral numerical manifold method for efficient elastodynamic analysis

Abstract

Journal

Organization