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2D Mixed Polygonal Finite Elements for Fluid Computation – An Overview
The polygonal finite element method (PFEM) is one of the most well-known and reliable numerical techniques used to solve various engineering issues....
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Robust hybrid/mixed finite elements for rubber-like materials under severe compression
A new family of hybrid/mixed finite elements optimized for numerical stability is introduced. It comprises a linear hexahedral and quadratic...
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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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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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Hybrid Finite Elements
At finite element formulations employing the PvD the equilibrium condition is satisfied in a weak sense, whereas the other governing equations are...
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Mixed finite elements applied to acoustic wave problems in compressible viscous fluids under piezoelectric actuation
In the present contribution, we develop a mixed finite element method capable of the coupled multi-field simulation of a viscous fluid actuated by a...
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Finite Element Analysis of Hyperelastoplastic Mixed-Hardening Materials Under Plane Stresses
A finite element formulation for the analysis of elastoplastic materials under finite strain levels, plane stress conditions, and mixed hardening is...
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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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Plane crack problems within strain gradient elasticity and mixed finite element implementation
An alternative approach is proposed and applied to solve boundary value problems within the strain gradient elasticity theory. A mixed variation...
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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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The Efficiency of Application of Triangular Bending Finite Elements for Plate Calculation Using the Classical Mixed-Type Approach to the Finite-Element Method
An algorithm is described for obtaining response matrix elements of a triangular bending finite element. Introduced for the first time by the authors...
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Development of Single-Node Finite Elements for the Calculation of Systems with Unilateral Constraints by FEM in the Form of the Classical Mixed Method
This article investigates the features and advantages of using single-node finite elements of Finite Element Method in the form of the Classical...
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An isoparametric tangled finite element method for handling higher-order elements with negative Jacobian
This paper presents an isoparametric tangled finite element method (i-TFEM) method for handling tangled high order/curvilinear meshes. Tangled...
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Assessment of New Adaptive Finite Elements Based on Carrera Unified Formulation for Meshes with Arbitrary Polygons
The meshing technique represents the capability to discretize the domain of interest, to fit the real physical continuum in the best possible way....
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Refined Finite Elements for the Analysis of Metallic Plates Using Carrera Unified Formulation
PurposeIn order to solve the problem that the existing models can’t accurately reproduce the mechanical properties of metallic plates under complex...
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Improved tensile analysis for functionally graded plates using an innovative mixed finite element method
This research introduces an innovative mixed finite element methodology for analysing functionally graded plates (FGP). The new method employs an...
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Novel Finite Elements - Mixed, Hybrid and Virtual Element Formulations at Finite Strains for 3D Applications
The main goal of this research project is to develop new finite-element formulations as a suitable basis for the stable calculation of modern...
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Introduction to Finite Element Methods
The textbook at hand offers an introduction to Finite Element Methods from an engineering point of view comprising the basic principles of virtual...
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Phase-field modeling of brittle fracture using automatically oriented exponential finite elements
In the recent decade, there has been a growing interest in using the phase-field approach to model fracture processes in various materials....
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Locking Free High-Order Mixed Elements for Ferroelectric Polarization
In this contribution, a finite element discretization for a thermodynamically consistent macroscopic model of the ferroelectric polarization process...