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Mixed-formulation with non-penetration constraint for planar composite beams in partial interaction
This paper presents a new mixed finite element model for material and geometric non-linear analysis of composite beams in partial interaction taking...
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Non-monotonic dynamics (mixed hardening/softening) in nonlinear continuous structures: An asymptotic formulation
Non-monotonic dynamics of nonlinear continuous structures, i.e., mixed hardening(H)/softening(S) behavior in the vicinity of H/S transition, is...
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Ritz Method-Based Formulation for Analysis of FGM Thin Plates Undergoing Large Deflection with Mixed Boundary Conditions
The analysis of functionally graded material (FGM) plates undergoing large deflection involves lengthy mathematical computations which makes the...
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Application of the mixed formulation method to eliminate shear-locking phenomenon in the Peridynamic Mindlin plate model
Accurately predicting crack propagation in structures remains a key challenge within the finite element method (FEM) framework. Despite develo**...
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Coupling 2D continuum and beam elements: a mixed formulation for avoiding spurious stresses
This paper presents a novel approach to coupling beam and solid elements. Connecting standard beam elements with solid elements results in a...
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Mixed convolved Lagrange multiplier variational formulation for size-dependent elastodynamic couple stress response
To model the dynamic response of materials at the submicron scale, non-classical theories of continuum mechanics must be invoked to capture the...
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Hybrid–Mixed Euler–Bernoulli Beam Elements
The derivation of a hybrid–mixed element formulation for the Euler–Bernoulli beam takes place by analogy with the bar.
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Hybrid–Mixed Kirchhoff Plate Elements
The formulation of the hybrid–mixed quadrilateral plate elements is derived in analogy to the Euler–Bernoulli beam. Again, the element is split into...
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A stabilized one-point integrated mixed formulation for finite element and meshfree methods in modeling nearly incompressible materials
This study develops a stabilized Galerkin mixed formulation within a one-point integrated framework to model nearly incompressible materials. The...
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Alleviation of shear locking in the Peridynamic Timoshenko beam model using the developed mixed formulation method
Peridynamics (PD) differs from classical continuum mechanics (CCM) and other nonlocal theories that do not involve spatial derivatives of the...
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Hybrid–Mixed Plane Stress Elements
The advantages of the hybrid–mixed formulation become more obvious at transferring the concept to plane stress structures. The freedom at the choice...
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Hybrid–Mixed Triangular Plate Elements
The governing equations related to Kirchhoff’s plate theory are given in Section 6. The weak formulation of the governing equations is developed...
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A Mixed XFEM Formulation to Simulate Dynamic Wave Propagation in Nearly Incompressible Materials
A mixed XFEM formulation including inertia terms for the efficient, locking free simulation of cracks and heterogeneities in nearly incompressible...
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A mixed u–p edge-based smoothed particle finite element formulation for viscous flow simulations
A mixed u–p edge-based smoothed particle finite element formulation is proposed for computational simulations of viscous flow. In order to improve...
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Formulation and efficient implementation of coupled anisotropic damage-plasticity model for plain concrete
The formulation and finite element implementation of an efficient anisotropic damage-plasticity model is proposed to simulate the nonlinear behavior...
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Nonlinear dynamics of three-dimensional curved geometrically exact beams by a quadrature element formulation
Nonlinear dynamic analyses of three-dimensional (3D) curved geometrically exact beams were carried out using a quadrature element (QEM) formulation....
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Locking treatment of penalty-based gradient-enhanced damage formulation for failure of compressible and nearly incompressible hyperelastic materials
Soft materials are of major interest for biomechanics applications due to their high deformability and susceptibility to experience damage events...
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Virtual Element Formulation for Finite Plasticity
The application of virtual elements covers a wide range in solid mechanics. Besides pure elastic behaviour, material models can be introduced that...
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Calculation of Shells of Revolution with the Use of a Mixed FEM with a Vector Approximation Procedure
AbstractA finite element algorithm in a mixed formulation has been developed to find stresses and displacements occurring in a shell of revolution....
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3D mixed virtual element formulation for dynamic elasto-plastic analysis
The virtual element method (VEM) for dynamic analyses of nonlinear elasto-plastic problems undergoing large deformations is outlined within this...
