Mathematische Grundlagen der Technischen Mechanik I

Trostel, Rudolf

doi:10.1007/978-3-322-93972-2

Cited by 7 publications

(3 citation statements)

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“…The sign :¼ defines the quantity on the left-hand side. Complements on this notation system can be found in Forest and Sievert (2003) and Trostel (1993).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear microstrain theories

Forest

Sievert

2006

International Journal of Solids and Structures

221

142

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A hierarchy of higher order continua is presented that introduces additional degrees of freedom accounting for volume changes, rotation and straining of an underlying microstructure. An increase in the number of degrees of freedom represents a refinement of the material description. In addition to available nonlinear Cosserat and micromorphic theories, general formulations of elastoviscoplastic behaviour are proposed for microdilatation and microstretch continua. A microstrain theory is introduced that is based on six additional degrees of freedom describing the pure straining of the microstructural element. In each case, balance equations and boundary conditions are derived, decompositions of the finite strain measures into elastic and plastic parts are provided. The formulation of finite deformation elastoviscoplastic constitutive equations relies on the introduction of the free energy and dissipation potentials, thus complying with requirements of continuum thermodynamics. Some guidelines for the selection of a suitable higher order model for a given material close the discussion.

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“…The sign :¼ defines the quantity on the left-hand side. Complements on this notation system can be found in Forest and Sievert (2003) and Trostel (1993).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear microstrain theories

Forest

Sievert

2006

International Journal of Solids and Structures

221

142

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“…For more comprehensive overviews on tensor calculus we recommend [58,99,126,197,205,319,343]. When solving applied problems the tensor equations can be "translated into the language" of matrices for a specified coordinate system.…”

Section: Long Term Strength Analysis Of a Steam Transfer Linementioning

confidence: 99%

Modeling of Creep for Structural Analysis

Naumenko

Altenbach

2007

Foundations of Engineering Mechanics

149

109

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“…8. This section draws heavily on earlier work in Trostel and Walker (2004) where many further details can be found. 9.…”

Section: Theorymentioning

confidence: 99%

Education, Work and Wages in the UK

Bingley

Walker

Zhu

2005

German Economic Review

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This paper is concerned with the relationship between education, wages and working behaviour. The work is partly motivated by the sharp distinction in the literature between the returns to education and the effect of wages on labour supply. Education is the investment that cumulates in the form of human capital while labour supply is the utilization rate of that stock. Yet, variation in education is usually the basis for identifying labour supply models -education is assumed to determine wages but not affect labour supply. Moreover, it is commonly assumed that the private rate of return to education can be found from the schooling coefficient in a log-wage equation. Yet, the costs of education are largely independent of its subsequent utilization but the benefits will be higher the greater the utilization rate. Thus the returns will depend on how intensively that capital is utilized and we would expect that those who intend to work least to also invest least in human capital. Indeed, the net (of tax liabilities and welfare entitlements) return to education will be a complex function of labour supply and budget constraint considerations.Here we attempt to model the relationship between wages, work, education and the tax/welfare system allowing for the endogeneity of education as well for the correlations between the unobservable components of wages and working behaviour. We use the estimates to simulate the effect of a new UK policy designed to increase education for children from low-income households.JEL classification: I38, J22, R31.

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Mathematische Grundlagen der Technischen Mechanik I

Cited by 7 publications

References 0 publications

Nonlinear microstrain theories

Nonlinear microstrain theories

Modeling of Creep for Structural Analysis

Education, Work and Wages in the UK

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