Results 161 to 170 of about 9,053 (252)

Toward Dynamic Phase‐Field Fracture at Finite Strains

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist, Matthias Thimm, Kerstin Weinberg, Christian Wieners, Marita Thomas   +4 more
wiley   +1 more source

Existence of variational solutions to doubly nonlinear systems in nondecreasing domains. [PDF]

J Evol Equ
Schätzler L, Scheven C, Siltakoski J, Stanko C.   +3 more
europepmc   +1 more source

Iterative Mold Adaptation for Pre‐Compensation of Warpage in Aluminum Casting

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT As a result of uneven cooling and internal stresses, warpage is a significant challenge in metal casting, particularly when using metal dies. Previous research has sought to reduce warpage by adjusting process parameters, such as the extraction temperature.
Steffen Tillmann, Shrujal Gor, Stefanie Elgeti, Andreas Bührig‐Polaczek, Björn Pustal   +4 more
wiley   +1 more source

Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes. [PDF]

Arch Ration Mech Anal
Chen GG, Irving C, Torres M.
europepmc   +1 more source

Numerical and Analytical Study of Elastic Parameters in Linearized Micropolar Elasticity

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT The effect of elastic parameters in the linearized theory of micropolar elasticity on observable deformation is analyzed analytically and numerically. Specifically, a shear deformation boundary value problem is studied to explore the physical implications of a micropolar formulation. Our new analytical solution for the two‐dimensional shearing
Lucca Schek, Wolfgang H. Müller
wiley   +1 more source

Heterogeneous-IRS-Assisted Millimeter-Wave Systems: Element Position and Phase Shift Optimization. [PDF]

Sensors (Basel)
Zhao W, Wu Q, Wei H, Su D, Zhu Y.
europepmc   +1 more source

Variational Modeling of Porosity Waves

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Mathematical models for finite‐strain poroelasticity in an Eulerian formulation are studied by constructing their energy‐variational structure, which gives rise to a class of saddle‐point problems. This problem is discretized using an incremental time‐stepping scheme and a mixed finite element approach, resulting in a monolithic, structure ...
Andrea Zafferi, Dirk Peschka
wiley   +1 more source

Modelling Volumetric Growth in Soft Solids via Residual Stress. [PDF]

J Elast
Huang R, Ogden RW, Penta R.
europepmc   +1 more source

Physics‐Based Machine Learning for Modeling Cyclic Damage Evolution

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT Accurate modeling of cyclic damage evolution is essential for predicting the long‐term performance and durability of engineering materials and structures. Traditional simulation‐based approaches, while physically rigorous, are computationally expensive, especially under complex loading histories.
Elsayed S. Elsayed, Abedulgader Baktheer, Fadi Aldakheel   +2 more
wiley   +1 more source

A design-based framework for optimal stratification using super-population models with application on real data set of breast cancer. [PDF]

PLoS One
Danish F.
europepmc   +1 more source