A first course in continuum mechanics: for physical and by Y. C. Fung

By Y. C. Fung

Revision of a vintage textual content by way of a exclusive writer. Emphasis is on challenge formula and derivation of governing equations. new version positive factors elevated emphasis on functions. New bankruptcy covers long term alterations in fabrics below rigidity.

Show description

Read Online or Download A first course in continuum mechanics: for physical and biological engineers and scientists PDF

Similar mechanics books

Nonlinear Fracture Mechanics for Engineers

The publication has a superb assessment of Linear Elastic Fracture Mechanics (LEFM) which flows properly into Elastic-Plastic Fracture Mechanics (EPFM). on the time of this evaluate, i'm utilizing instructions from the ebook to figure out applicability of LEFM and/or EPFM easy methods to aerospace constitution which i'm at present examining for flaw progress lower than cyclic loading.

Springer Handbook of Experimental Fluid Mechanics

This instruction manual consolidates authoritative and cutting-edge info from the massive variety of disciplines utilized in experimental fluid mechanics right into a readable table reference publication. It includes 4 elements protecting Experiments in Fluid Mechanics, size of fundamental amounts, particular Experimental Environments and strategies, and Analyses and Post-Processing of knowledge.

Holographic Interferometry in Experimental Mechanics

This monograph offers with assorted functions of holographic interferome­ test in experimental good mechanics. Holographic interferometry has skilled a improvement of 20 years. It has loved good fortune and suffered a few disappointments generally as a result of early overestimation of its capability. at this time, improvement of holo­ photo interferometry is progressing basically as a strategy for quantita­ tive measurements.

Mechanik: Lehrbuch zur Theoretischen Physik I

Dieses Lehrbuch gibt eine Einführung in die Mechanik, wie sie an der Universität im Zyklus "Theoretische Physik" angeboten wird. Besonderen Wert hat der Autor auf eine intestine lesbare, verständliche und überschaubare Darstellung gelegt. Die einzelnen Schritte sind so ausführlich dargestellt, dass der Leser sie ohne größere Schwierigkeiten nachvollziehen kann.

Extra resources for A first course in continuum mechanics: for physical and biological engineers and scientists

Example text

Similar conclusions can be reached for the case n = 1 and r > 2. The case n > 1, r = 2 is not trivial. , d oL aL - dt aqk + al a2 L . ) a2 L aL i~1 oqk aqi ij' + oqk oqi q' - aqk at + aqk n = - ( = F k(t, q, q, ij), k = 1, 2, ... , again the function L. As a result, the system is overdetermined and a solution in this case does not necessarily exist despite continuity and regularity assumptions. A similar situation occurs for n > 1 and r > 2. 29) were apparently formulated for the first time by Helmholtz (1887)26 on quite remarkable intuitional grounds.

1\ dqlp+l. 18a) ~i""i P +1 oA i1 ··· ip -- 0 U· oqip+l 11"')p+l jl, ... 18b) ' = 1,2, ... ,n, respectively. 14). Indeed, we can write A(2) = l(A .. - A 1211 . ) dqi! 1\ dqi2 2 'll2 1 .. "1 ' 2 A -- -21 Uj,i> ili2 d q '1 = L (Aili2 it < i2 . 1\ d q12 - A i2i ,) dqil 1\ dqh = O. 20) follow from the linear independence of the elements dqil 1\ dqi2 for il < i 2 . 20) then recover the known property that a necessary and sufficient condition for the contraction of a tensor Aili2 with an anti symmetric tensor, say Bili>, to be identically null is that Aili2 be symmetric in its indices.

M. For a review of the concept of generalized coordinates, see the Appendix. Existence Theory for Implicit Functions 17 that is, when t can take all the values of an interval tl ~ t :=; t 2 . By writing t E (tt. t 2 ) we mean the totality of values of t on the interval (t 1, t 2 ), including the end times. The matrix oFI oFI oql ... 6) ;If- oFn oFn Oql ... 1). Yt'(R3n+I). 1) and it is, in general, also a function of the 3n + 1 elements (t, q, q. ij). 1. 8) is everywhere non-null (null) in a region R 3n + I of points (t, q, q, q), with the possible exception of a (finite) number of isolated points.

Download PDF sample

Rated 4.32 of 5 – based on 31 votes