Explicit multistep time integration for discontinuous elastic stress wave propagation in heterogeneous solids

DOI10.1002/NME.6027zbMATH Open1548.65157MaRDI QIDQ6555380

José A. González, Radek Kolman, K. C. Park, Sang-Soon Cho

Publication date: 14 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

localized Lagrange multipliersheterogeneous solidscomponent-wise partitioned equations of motionexplicit multistep time integration

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• A time-discontinuous implicit variational integrator for stress wave propagation analysis in solids
• Space-time finite element methods for second-order hyperbolic equations
• Space-time finite element methods for elastodynamics: Formulations and error estimates
• On the use of space-time finite elements in the solution of elasto-dynamic problems with strain discontinuities.
• Mechanical integrators derived from a discrete variational principle
• A localized version of the method of Lagrange multipliers and its applications
• Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
• Multi-time-step explicit-implicit method for non-linear structural dynamics
• A method for multidimensional wave propagation analysis via component-wise partition of longitudinal and shear waves
• Heterogeneous asynchronous time integrators for computational structural dynamics
• Efficient implementation of an explicit partitioned shear and longitudinal wave propagation algorithm
• Binary spatial partitioning of the central-difference time integration scheme for explicit fast transient dynamics
• Multi-time-step and two-scale domain decomposition method for non-linear structural dynamics
• A variational principle for the formulation of partitioned structural systems
• Inverse mass matrix via the method of localized Lagrange multipliers
• A selective mass scaling method for shear wave propagation analyses in nearly incompressible materials

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