Results 61 to 70 of about 12,175,996 (314)
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.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
Inequalities of Some Trigonometric Functions [PDF]
, 2003 By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
core
Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley +1 more source
Dynamic Time Series Analysis Using Logistic Function [PDF]
, 2004 This paper investigates a set of autoregressive time series models whose coefficients have the form of a logistic function. The transfer function type models give additional flexibility over the fixed coefficients models and include them as a special ...
Hwang, SangPil
core
Coefficient Inequalities of q-Bi-Univalent Mappings Associated with q-Hyperbolic Tangent Function
Fractal and Fractional, 2023 The present study introduces a new family of analytic functions by utilizing the q-derivative operator and the q-version of the hyperbolic tangent function.
Timilehin Gideon Shaba +5 more
doaj +1 more source
Numerical Stability of Tangents and Adjoints of Implicit Functions
, 2022 We investigate errors in tangents and adjoints of implicit functions resulting from errors in the primal solution due to approximations computed by a numerical solver. Adjoints of systems of linear equations turn out to be unconditionally numerically stable.
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Advanced Engineering Materials, EarlyView.A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.The present study investigates recycling of NiTi shape memory alloys via vacuum induction melting. An ingot was synthesized from elemental Ni and Ti and subjected to three subsequent remelting cycles. Remelting increases process durations and impurity levels and adversely affects microstructures and functional properties.
Sakia Sophia Noorzayee +7 more
wiley +1 more source
High school students’ learning trajectories of the concept of tangent line
Enseñanza de las Ciencias, 2018 The goal of this research is to characterize high school students’ learning trajectories of the concept of tangent line in a teaching experiment. The experiment considers a model of learning progression of the concept of tangent line using the local ...
Abilio Orts Muñoz +2 more
doaj +1 more source
ON -VECTORS AND THE DERIVATIVES OF THE TANGENT AND SECANT FUNCTIONS
Bulletin of the Australian Mathematical Society, 2014 AbstractIn this paper, we show that the$\gamma $-vectors of Coxeter complexes (of types A and B) and associahedrons (of types A and B) can be obtained by using derivative polynomials of the tangent and secant functions. We provide a unified grammatical approach to generate these$\gamma $-vectors and the coefficient arrays of Narayana polynomials ...
openaire +3 more sources