Parameter-based applicability analysis of Gerhards cumulative damage model in residual strength and life prediction of wood in bending

  • Zhongcheng Wang
  • Na YangEmail author


Many timber structures around the world were built hundreds of years ago, and they are still standing after a long period of service with environmental erosion and damages caused by human activities. This is due to a combination of excellent form of construction, careful maintenance and outstanding physical properties of wood. How to evaluate the safety margin of wood, understand its working performance and evaluate the residual life duration accurately are the common problems with all structural engineers. This paper proposes a set of simplified models based on the widely used Gerhards cumulative damage model to intuitively describe the relationship between the stress level and life duration of wood under different load conditions. The scope of application of these models with existing experimental data sets was then analyzed. Finally, a method to predict the residual strength and residual life duration of wood in bending is proposed based on the simplified model under constant load.



The work was supported by the Fundamental Research Funds of China for the Central Universities (Grant No. 2018YJS112); National Natural Science Foundation of China for Excellent Young Scholars (Grant No. 51422801); Beijing Natural Science Foundation of China (Key Program, Grant No. 8151003); National Natural Science Foundation of China (Key Program, Grant No. 51338001); National Natural Science Foundation of China (General Program, Grant No. 51778045); and the 111 project of China (Grant No. B13002). The comments and help from Prof. S.S. Law in polishing the English usage of the paper are also acknowledged.

Compliance with ethical standards

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.


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Authors and Affiliations

  1. 1.School of Civil EngineeringBeijing Jiaotong UniversityBeijingChina

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