A generalization of thermodynamic orthogonality to random media

Research output: Contribution to journalArticlepeer-review


Basic relations of Ziegler's theory of thermodynamic orthogonality are generalized to random media. Two basic cases of interpreting randomness in nonconservative material response are considered, and, accordingly, the mean, the average, and the effective dissipation functions are identified. It is found that when a homogeneity condition is fulfilled, these functions satisfy very simple equalities. When a quasi-homogeneity condition is satisfied, these function lead to very concise forms of effective Legendre transformations. An interpretation of the extremum principles corresponding to the derived relations is given.

Original languageEnglish (US)
Pages (from-to)701-712
Number of pages12
JournalZAMP Zeitschrift für angewandte Mathematik und Physik
Issue number5
StatePublished - Sep 1990
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics


Dive into the research topics of 'A generalization of thermodynamic orthogonality to random media'. Together they form a unique fingerprint.

Cite this