An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities
In this paper an implicit peridynamic (PD) framework is devised for the solution of quasi-
static problems involving brittle and quasi-brittle fracture. A common way to deal with such …
static problems involving brittle and quasi-brittle fracture. A common way to deal with such …
Analyzing cyclic loading behavior of concrete structures: A peridynamic approach with softening models and validation
This study introduces a bond-based peridynamic (BB-PD) approach for analyzing concrete
structures under cyclic loading, with the aim of comprehensively addressing crack …
structures under cyclic loading, with the aim of comprehensively addressing crack …
Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches
AT Atacan, RF Yükseler - Proceedings of the Institution of …, 2024 - journals.sagepub.com
Snap-through analysis of thin, functionally graded (FG), fixed, circular shallow arches
subjected to uniformly distributed vertical load is examined in this paper. The modulus of …
subjected to uniformly distributed vertical load is examined in this paper. The modulus of …
On the implementation of a material point‐based arc‐length method
The material point method is a versatile technique which can be used to solve various types
of solid mechanics problems, especially those involving large deformations. However, the …
of solid mechanics problems, especially those involving large deformations. However, the …
[HTML][HTML] A semi-analytical multi-harmonic balance method on full-3D contact model for dynamic analysis of dry friction systems
SUN He, D Zhang, WU Yaguang, S Qingyang… - Chinese Journal of …, 2024 - Elsevier
Dry friction damping structures are widely-used in aero-engines to mitigate vibration. The
nonlinear nature of friction and the two-dimensional in-plane motion on the contact interface …
nonlinear nature of friction and the two-dimensional in-plane motion on the contact interface …
A new nonlinear 5-parameter beam model accounting for the Poisson effect
In this paper, a new kinematic beam model based on a five-parameter displacement field is
proposed in a geometric nonlinear framework. The proposed displacement field enriches …
proposed in a geometric nonlinear framework. The proposed displacement field enriches …
[HTML][HTML] A family of minimum residual displacement methods as nonlinear solution schemes for equilibrium path-following in structural mechanics
In the realm of nonlinear structural mechanics, tracing load-displacement curves becomes
complex when approaching the limit points caused by instability. Multiple ideas have …
complex when approaching the limit points caused by instability. Multiple ideas have …
A method for finding distinct solutions of geometrically nonlinear structures
M Homabakht, SS Shishvan - Computers & Structures, 2024 - Elsevier
Geometrically nonlinear structures are extensively used as load-carrying systems or energy
harvesting devices. The main characteristics of their behaviour include complex and/or multi …
harvesting devices. The main characteristics of their behaviour include complex and/or multi …
[HTML][HTML] An adaptive parallel arc-length method
Parallel computing is omnipresent in today's scientific computer landscape, starting at
multicore processors in desktop computers up to massively parallel clusters. While domain …
multicore processors in desktop computers up to massively parallel clusters. While domain …
A new unified arc-length method for damage mechanics problems
The numerical solution of continuum damage mechanics (CDM) problems suffers from
convergence-related challenges during the material softening stage, and consequently …
convergence-related challenges during the material softening stage, and consequently …