- Elasticity and Material Modeling
- Composite Material Mechanics
- Nonlocal and gradient elasticity in micro/nano structures
- Composite Structure Analysis and Optimization
- Mechanical Behavior of Composites
- Microstructure and mechanical properties
- Metal Forming Simulation Techniques
- Thermoelastic and Magnetoelastic Phenomena
- Advanced Mathematical Modeling in Engineering
- Topology Optimization in Engineering
- Numerical methods in engineering
- Magnesium Alloys: Properties and Applications
- Dynamics and Control of Mechanical Systems
- Mechanical Engineering and Vibrations Research
- Aluminum Alloys Composites Properties
- Polymer crystallization and properties
- Vibration and Dynamic Analysis
- Advanced Numerical Methods in Computational Mathematics
- Carbon Nanotubes in Composites
- Advanced machining processes and optimization
- Polymer Nanocomposites and Properties
- Shape Memory Alloy Transformations
- Electromagnetic Simulation and Numerical Methods
- Structural Load-Bearing Analysis
- Advanced Surface Polishing Techniques
Otto-von-Guericke University Magdeburg
2015-2024
Deutsche Bahn (Germany)
2021-2022
University of Bremen
2016-2021
University Hospital Magdeburg
2007-2018
Universitätsaugenklinik Magdeburg
2016
The concept of internal constraints is extended to gradient materials.Here, interesting can be introduced, such as pseudorigid ones.The stresses and the hyperstresses will given by constitutive equations only up reactive parts, which do no work during any compatible motion body.For inclusion thermodynamical effects, theory generalized case thermomechanical constraints.Here one obtains parts stresses, heat flux, entropy, energy, not contribute dissipation.Some critical remarks on classical...
Abstract The equilibrium equations and the traction boundary conditions are evaluated on basis of condition stationarity Lagrangian for coupled strain gradient elasticity. quadratic form energy can be written as a function second displacement contains fourth-, fifth- sixth-order stiffness tensor $${\mathbb {C}}_4$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>4</mml:mn> </mml:msub> </mml:math> , {C}}_5$$ <mml:mn>5</mml:mn> {C}}_6$$...
Convexity of a function or set is an often needed and important mathematical property. In the case yield functions [Formula: see text] (or elastic ranges) in terms stresses, almost all empirical mechanism-based have this However, requiring positive plastic dissipation does not necessarily exclude non-convex functions, which confirmed by fact that are observed experimentally, although rarely happens. We therefore ask whether nice property reflects physical material This investigated...
Strain-gradient elasticity is a special case of high-gradient theories in which the potential energy density depends on first and second gradient displacement field. The presence coupling term material law leads to non-diagonal quadratic form stored energy, makes it difficult for derivation fundamental theorems. In this article, two variational principles minimum complementary energies are argued context coupled strain-gradient theory. basis proofs both equivalent transformation stain that...
Abstract A pseudoelastic model for the simulation of deformation twinning on microscale is develope and coupled with a crystal plasticity crystallographic slip. The material parameters are adopted to $\{10\bar 1 2\}\langle \bar 0 \rangle$ basal glide in magnesium alloy. Special attention drawn energy invariance conjugate twin systems that emerges when treated elastically. tested three characteristic FE simulations, namely simple shear test parallel inclined system an elongation notched band....
Abstract Many materials with a microstructure are statistically inhomogeneous, like casting skins in polymers or grain size gradients polycrystals. It is desirable be able to account for the structural gradient. The first step measure location dependent properties, example by tensile testing of thin slices. Unfortunately, slices properties can differ significantly from bulk since lack scale separation one direction. For Polypropylen, we measured that Young’s modulus approximately 70%...
There is a continuous need for innovative biomaterials with advanced properties to meet the biomechanical requirements of orthopedic implants and interventional devices. Recent research findings show that using material composites leads significantly improved properties, which are beneficial medical applications. Therefore, this work aims at studying polymer‐polymer high‐density polyethylene (HDPE) ultrahigh molecular weight (UHMWPE), were mixed without reinforcement multiwall carbon...
Abstract The inverse Hooke's law and complementary strain energy density has been examined in the context of theory coupled gradient elasticity for second materials. To this end, it was assumed that potential is a quadratic form displacement. Existence coupling term significantly complicates problem. avoid complication equation transformed order to present as an uncoupled modified displacement or These transformations, which essence block matrix diagonalization, lead decoupling strains makes...
The texture evolution and the Swift effect in NiAl under torsion at 727 °C are studied by finite element simulations for two different initial textures. material behaviour is modelled an elastic-viscoplastic Taylor model. In order to overcome well-known shortcomings of Taylor's approach, also investigated a representative volume (RVE) with periodic boundary conditions compatible microstructure opposite faces RVE. Such takes into account grain morphology interaction. numerical results...