scholarly journals Role of Higher-Order Terms in Local Piston Theory

2019 ◽  
Vol 56 (1) ◽  
pp. 388-391 ◽  
Author(s):  
Marius-Corné Meijer ◽  
Laurent Dala
Keyword(s):  
Higher Order ◽  
Piston Theory ◽  
Higher Order Terms

Correction: Role of Higher-Order Terms in Local Piston Theory

2020 ◽  
Vol 57 (5) ◽  
pp. 1001-1001
Author(s):  
Marius-Corné Meijer ◽  
Laurent Dala
Keyword(s):  
Higher Order ◽  
Piston Theory ◽  
Higher Order Terms

scholarly journals Critical Combinations of Higher-Order Terms in Einstein-Maxwell Theory and Compactification

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Nahomi Kan ◽  
Kiyoshi Shiraishi
Keyword(s):  
Higher Order ◽  
De Sitter ◽  
Spontaneous Compactification ◽  
Maxwell Theory ◽  
Higher Derivative ◽  
Higher Dimensional ◽  
Inflationary Phase ◽  
Expansion Time ◽  
Higher Order Terms

We discuss the role of a particular combination of higher derivative terms in higher dimensional theories, particularly in the background of spontaneous compactification. Two classes of theories are proposed in this paper. The first model as a generalization of the critical gravity with the Maxwell field could have a de Sitter solution. We consider the Lanczos-Lovelock term and Horndeski term as well as the higher-order Maxwell term for the second model, which contains a possible longer expansion time for the inflationary phase. It is interesting that both models can be regarded as the generalization of the Randjbar-Daemi, Salam and Strathdee (RSS) model and give the well behavior for inflation stage under the specific assumptions.

Using the Multi-Parameter Fracture Mechanics for more Accurate Description of Stress/Displacement Crack Tip Fields

2013 ◽  
Vol 586 ◽  
pp. 237-240 ◽  
Author(s):  
Lucie Šestáková
Keyword(s):  
Stress Distribution ◽  
Fracture Mechanics ◽  
Boundary Conditions ◽  
Displacement Field ◽  
Singular Term ◽  
Crack Tip ◽  
Higher Order ◽  
Precise Description ◽  
Accurate Knowledge ◽  
Higher Order Terms

Most of fracture analyses often require an accurate knowledge of the stress/displacement field over the investigated body. However, this can be sometimes problematic when only one (singular) term of the Williams expansion is considered. Therefore, also other terms should be taken into account. Such an approach, referred to as multi-parameter fracture mechanics is used and investigated in this paper. Its importance for short/long cracks and the influence of different boundary conditions are studied. It has been found out that higher-order terms of the Williams expansion can contribute to more precise description of the stress distribution near the crack tip especially for long cracks. Unfortunately, the dependences obtained from the analyses presented are not unambiguous and it cannot be strictly derived how many of the higher-order terms are sufficient.

The Skyrme model and higher order terms

1990 ◽  
Vol 235 (1-2) ◽  
pp. 141-146 ◽  
Author(s):  
Luc Marleau
Keyword(s):  
Higher Order ◽  
Skyrme Model ◽  
Higher Order Terms
Sign in / Sign up

Export Citation Format

Share Document