Thermo-hygro-mechanically coupled modelling of wood including two-phase moisture diffusion for transient simulation of wooden structures at mechanical and climatic loads

Research output: Contribution to journalResearch articleContributedpeer-review



A model to predict the thermo-hygro-mechanical behaviour of wood is introduced. The description of the transport processes of moisture and heat are combined with a model for the mechanical response. Moisture transport is represented by a two-phase multi-Fickian approach, considering bound water and water vapour. For the mechanical response, a moisture- and temperature-dependent, orthotropic, elastic material formulation is used. The theoretical basis of the model and the numerical implementation of the monolithic solution into a Finite Element framework are discussed as well as its verification and validation. With this model at hand, arbitrary wooden structures can be simulated in a transient manner subjected to climatic and mechanical loads. In the contribution, the approach is applied to the analysis of a panel painting by L. Cranach the Elder.


Original languageEnglish
Pages (from-to)67-79
Number of pages13
JournalHeat and Mass Transfer
Issue number1
Publication statusPublished - 25 May 2022

External IDs

Scopus 85130711406
unpaywall 10.1007/s00231-022-03178-2
WOS 000800073100001



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