On gradient field theories: gradient magnetostatics and gradient elasticity
In this work the fundamentals of gradient field theories are presented and reviewed. In particular, the theories of gradient magnetostatics and gradient elasticity are investigated and compared.
Lazar, Markus
core +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
This treatise collects and reflects the major developments of direct (discrete) variational calculus since the end of the 17th century until about 1990, with restriction to classical linear elastomechanics, such as 1D-beam theory, 2D-plane stress ...
Erwin Stein
doaj +1 more source
Numerical Exploration of Thermal Shock Resistance in MgO–C Refractories
A mesostructure‐resolved numerical framework is developed to evaluate the thermal shock resistance of MgO–C refractories. By modeling interface debonding under rapid temperature changes and introducing a modified thermal shock parameter that accounts for mesocracks, the study shows how graphite content and aggregate size influence thermal shock ...
Jishnu Vinayak Gopi +3 more
wiley +1 more source
Symplectic Model Order Reduction with Non-Orthonormal Bases
Parametric high-fidelity simulations are of interest for a wide range of applications. However, the restriction of computational resources renders such models to be inapplicable in a real-time context or in multi-query scenarios.
Patrick Buchfink +2 more
doaj +1 more source
A general framework for thermodynamically consistent parameterization and efficient sampling of enzymatic reactions. [PDF]
Kinetic models provide the means to understand and predict the dynamic behaviour of enzymes upon different perturbations. Despite their obvious advantages, classical parameterizations require large amounts of data to fit their parameters.
Pedro Saa, Lars K Nielsen
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Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales
Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik +7 more
wiley +1 more source
Improved Error Estimates of Solutions in the Linear Theory of Thin Elastic Shells
DANIELSON [2] has shown that the difference between the classical linear shell theory solution and the solution of the three dimensional elasticity theory is in the L2 norm a quantity of relative order e. In this report that difference is proved to be of
Z. Rychter
doaj
Stress analysis of rotational shaft with a constant angular speed using strain gradient theory [PDF]
In classical mechanics, considering Hook’s law stress is a linear function of strain. While in strain gradient theory stress is a function of strain and strain differentials.
mostafa homayouni
doaj
Mathematical model for elastic beams with longitudinally variable depth [PDF]
In this work we introduce a new mathematical model for elastic beams with a cross-section of constant width and longitudinally variable depth, obtained from the classical three-dimensional linear elasticity problem by using an asymptotic expansion ...
Samartín, Avelino +2 more
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