Related Experiment Video
Updated: May 26, 2026
06:34
Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
Published on: January 6, 2023
Modelling porous structures by penalty approach in the extended finite element method
1Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore, 117576, Singapore. ttqnhu@gmail.com
Computer Methods in Biomechanics and Biomedical Engineering
|January 10, 2012
Summary
This study introduces a new method using the extended finite element method (XFEM) to efficiently model complex porous structures, like trabecular bone, without formula changes.
Area of Science:
- Computational mechanics
- Materials science
- Biomaterials engineering
Background:
- Porous structures are prevalent in natural and engineered materials.
- Accurate modeling of these complex geometries is crucial for performance prediction.
- Existing methods may struggle with intricate internal boundaries.
Purpose of the Study:
- To propose and validate a novel computational methodology for analyzing porous structures.
- To demonstrate the efficiency and adaptability of the extended finite element method (XFEM) for complex geometries.
- To model porous structures with varying characteristics, including biological examples.
Main Methods:
- Utilized the extended finite element method (XFEM) coupled with a penalty approach.
- Treated holes as inclusions with a very small Young's modulus within a matrix.
- Employed the level set method to accurately represent the internal boundaries of pores.
- Investigated diverse porous structures and applied the method to trabecular bone microstructure.
Main Results:
- Successfully modeled various complex porous structures.
- Demonstrated the capability of XFEM to handle intricate internal boundaries effectively.
- Validated the methodology using a realistic example of trabecular bone microstructure.
- Showcased efficient simulation without significant alterations to established XFEM formulations.
Conclusions:
- The proposed XFEM-based methodology offers an efficient and versatile approach for modeling complex porous structures.
- The technique accurately captures the geometry of internal boundaries, crucial for mechanical analysis.
- This method provides a robust framework for studying porous materials, including biological tissues like bone.
Related Concept Videos
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
01:30Typical Model Studies
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
01:12Modeling and Similitude
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
01:15Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
01:21Design Example: Creating a Hydraulic Model of a Dam Spillway
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
01:28Major Losses in Pipes
When a fluid flows through a pipe, it experiences energy losses due to frictional resistance along the pipe walls, known as major losses. These energy losses result in a pressure drop, which varies based on the flow conditions — whether laminar or turbulent — and the specific physical properties of the fluid and pipe.
Fluid flow can be classified as laminar or turbulent, primarily based on the Reynolds number. This dimensionless number reflects the relative influence of inertial to viscous...
Fluid flow can be classified as laminar or turbulent, primarily based on the Reynolds number. This dimensionless number reflects the relative influence of inertial to viscous...