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An equilibrium finite element method for contact problem with application to strict error estimation
Dual analysis, requiring a pair of compatible and equilibrated solutions, has been well used for strict error estimation of many problems, including...
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Corner treatment in 3D time-domain boundary element method
In order to avoid increasing the solution scale caused by adding nodes in the process of dealing with corners, a new corner treatment in 3D...
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Equilibrium
This chapter begins with a description of thermodynamic equilibrium and its relationship to static equilibrium, defines a global equilibrium state as...
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Viscoelastic finite element analysis of roll transfer process with rate-dependent adhesion behavior and multi-element cohesive interaction
In this study, we introduced a multi-element cohesive interaction (MECI) approach for viscoelastic finite element analysis (FEA) to simulate roll...
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A semi-implicit finite element formulation of the partitioned method for fluid-structure interaction based on a flux boundary condition of pressure equation
A semi-implicit algorithm of the partitioned method is newly proposed for fluid-structure interaction using the finite element method. In particular,...
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Virtual element method for mixed-mode cohesive fracture simulation with element split and domain integral
We present a computational framework for mixed-mode cohesive fracture simulation based on the virtual element method (VEM). To represent an arbitrary...
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The Goodman contact element in geotechnical engineering based on the virtual element method
This paper introduces the Goodman contact element based on the virtual element method framework. Since the virtual element method can calculate...
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Finite Element Formulations
This chapter describes the fundamental concepts of displacement-based finite element formulations. Starting from the basic ideas of structural...
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The Boundary Element Method Applied to Three-Dimensional Exponentially Graded Viscoelastic Solids
Exponentially graded viscoelastic solids constitute an important class of advanced composite materials. Such materials exhibit physical, chemical or...
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Assessment of rigorous solutions for pseudo-dynamic slope stability: Finite-element limit-analysis modelling
This study developed a finite-element lower-bound procedure to investigate seismic slope stability in homogeneous and non-homogeneous soils. In order...
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Steel optimization for reinforced concrete using an equilibrium-based formulation
This article introduces an innovative approach to optimize steel reinforcement in reinforced concrete structures using the equilibrium-based...
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The adaptive coupling of dual-horizon peridynamic element and finite element for the progressive failure of materials
The peridynamic correspondence model (PDCM) provides the stress–strain relation that can introduce many classical constitutive models, however, the...
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Adaptive quadtree edge-based smoothed finite element method for limit state analysis of structures
This study presents an efficient numerical approach for pseudo-lower bound limit analysis of structures. The total stress field is decomposed into...
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Research on dynamic characteristics and radiation noise of a helicopter main reducer based on finite element and boundary element method
In order to solve the problem of radiation noise of helicopter reducer with symmetrical structure, a simulation method is proposed to predict the...
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An Analytic Element Model for Seepage Forces in Fractured Media
There are many situations where groundwater flow has high flow rates, causing large seepage forces. Examples are flows around highly conductive...
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An Arbitrary Polygonal Stress Hybrid Element for Structural Dynamic Response Analysis
This paper constructs a new two-dimensional arbitrary polygonal stress hybrid dynamic (APSHD) element for structural dynamic response analysis....
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ALE-ANCF circular cross-section beam element and its application on the dynamic analysis of cable-driven mechanism
A new fully parameterized beam element with circular cross-section based on arbitrary Lagrange–Euler absolute node coordinate formulation (ANCF) is...
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Enhanced solid element model with embedded strong discontinuity for representation of mesoscale quasi-brittle failure
This article presents a novel two-dimensional quadrilateral solid finite element model, enhanced by incompatible modes and embedded strong...
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Time domain coupling of the boundary and discrete element methods for 3D problems
This paper presents an extension of the authors’ previously developed interface coupling technique for 2D problems to 3D problems. The method...
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Discrete Element Methods with Special Focus on DDA
In this chapter, the implicit (static) relaxation algorithm of “discontinuous deformation analysis (DDA)” belonging to the family of block-based CMs,...