Results 41 to 50 of about 1,345,655 (169)
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
Displacement-driven approach to nonlocal elasticity
This study presents a physically-consistent displacement-driven reformulation of the concept of action-at-a-distance, which is at the foundation of nonlocal elasticity. In contrast to the class of existing approaches that adopts an integral stress–strain
Patnaik, S, Semperlotti, F, S, Sidhardh
core +1 more source
Transient dynamics of nonlocal beams with scale-dependent phase fractions
The transient bending response of Bernoulli–Euler nanobeams is investigated within the framework of two-phase strain-driven nonlocal integral elasticity.
Indronil Devnath, Mohammad Nazmul Islam
doaj +1 more source
Van der Waals interactions are reviewed through the lens of advanced atomic force microscopy, highlighting recent progress in nanoscale quantification of Hamaker constants. Emerging methodologies enable high‐resolution mapping of intermolecular forces in 2D materials and biological systems, bridging experimental measurements with quantum‐informed ...
Amir Farokh Payam +2 more
wiley +1 more source
Coupled phase field and nonlocal integral elasticity analysis of stress-induced martensitic transformations at the nanoscale: boundary effects, limitations and contradictions [PDF]
In this paper, the coupled phase field and local/nonlocal integral elasticity theories are used for stress-induced martensitic phase transformations (MPTs) at the nanoscale to investigate the limitations and contradictions of the nonlocal integral ...
Javanbakht, Mahdi +3 more
core
Statics of nonlocal stress driven graded material beam - cauchy distribution approach
Nonlocal elasticity theories are essential for modeling size-dependent mechanical behavior in micro- and nano-structured components, yet existing stress-driven formulations rely almost exclusively on rapidly decaying kernels such as the Helmholtz or ...
Indronil Devnath, Mohammad Nazmul Islam
doaj +1 more source
The Evolution of Interest‐Rate Models: From the Yield Curve to the Swaption Cube
ABSTRACT Interest‐rate modelling is often taught as a catalogue of competing stochastic equations, obscuring why models were created and why modern sell‐side desks use several simultaneously. This survey reorganises the field around five layers of a pricing architecture: curve construction; arbitrage‐free dynamics; volatility‐smile representation ...
Xuan Feng +2 more
wiley +1 more source
This is a short note intended to highlight the contribution of the seminal article “Nonlocal elasticity and related variational principles" by Prof. Dr. Castrenze Polizzotto that appeared in the Volume 38 of International Journal of Solids and Structures,
Patnaik, Sansit
core +1 more source
ABSTRACT Predicting structural lifetime under complex loading remains a major challenge in computational mechanics, especially for high cycle fatigue in large scale systems such as aircraft, bridges, and wind turbines. This difficulty arises from the need to capture fatigue damage accumulation, crack initiation, crack growth across scales, and life ...
Elsayed S. Elsayed +2 more
wiley +1 more source
ABSTRACT Quantum annealing is emerging as a practical tool for large‐scale combinatorial optimization. We map continuum displacements and element densities to binary variables, turning both deformation analysis and topology optimization into quadratic unconstrained binary optimization (QUBO) problems that run on today's annealers.
Rio Honda +5 more
wiley +1 more source

