title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð¸ÑÑÐ¾ÑÐ¸Ð¸ ÑÐ²ÐµÑÐ´ÐµÐ½Ð¸Ñ Ð±ÐµÑÐ¾Ð½Ð° Ð½Ð° Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Influence of the thermal history of concrete hardening on the modulus of elasticity
Creators: name: ÐÐ°Ð»Ð°Ð³Ð¸Ð½, ÐÐ°ÐºÑÐ¸Ð¼
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð±ÐµÑÐ¾Ð½
Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸
Ð¼Ð°ÑÑÐ¸Ð²Ð½ÑÐµ Ð±ÐµÑÐ¾Ð½Ð½ÑÐµ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸
ÑÐµÑÐ¼Ð¾Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ
ÑÐµÐ¿Ð»Ð¾Ð²ÑÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ Ð±ÐµÑÐ¾Ð½Ð°
ÑÑÐµÑÐ¸Ð½Ð¾ÑÑÐ¾Ð¹ÐºÐ¾ÑÑÑ
ÑÑÑÐ¾Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð¿ÐµÑÐ¸Ð¾Ð´
concrete
modulus of elasticity
massive concrete structures
thermal stress state
heat release of concrete
crack resistance
construction period

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð¸ÑÑÐ¾ÑÐ¸Ð¸ ÑÐ²ÐµÑÐ´ÐµÐ½Ð¸Ñ Ð±ÐµÑÐ¾Ð½Ð° Ð½Ð° Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸ Ð² ÑÑÑÐ¾Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð¿ÐµÑÐ¸Ð¾Ð´, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¾ÑÐµÐ½ÐºÐ¸ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð½Ð° ÑÐµÑÐ¼Ð¾Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ Ð¼Ð°ÑÑÐ¸Ð²Ð½ÑÑ Ð±ÐµÑÐ¾Ð½Ð½ÑÑ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¹. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ±Ð·Ð¾Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð¸ Ð¸Ð¼ÐµÑÑÐ¸ÑÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¾Ð± ÑÑÐµÑÐµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ ÑÐ²ÐµÑÐ´ÐµÐ½Ð¸Ñ Ð½Ð° Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸ Ð² Ð¿ÑÐ¾ÑÐµÑÑÐµ ÑÐ²ÐµÑÐ´ÐµÐ½Ð¸Ñ. 2. Ð­ÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ðµ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÐºÑÐ¸Ð²ÑÑ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸ Ð±ÐµÑÐ¾Ð½Ð° Ð² Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÐ¾Ð»ÑÐºÐ¾ Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸, Ð° ÑÐ°ÐºÐ¶Ðµ Ð² Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð¸ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð¸ÑÑÐ¾ÑÐ¸Ð¸ ÑÐ²ÐµÑÐ´ÐµÐ½Ð¸Ñ. 3. Ð¡ÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ñ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¼Ð¾Ð´ÐµÐ»ÑÐ¼Ð¸. 4. Ð Ð°ÑÑÐµÑ ÑÐµÑÐ¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐµÑÐ¸Ð½Ð¾ÑÑÐ¾Ð¹ÐºÐ¾ÑÑÐ¸ Ð¼Ð°ÑÑÐ¸Ð²Ð½Ð¾Ð¹ Ð±ÐµÑÐ¾Ð½Ð½Ð¾Ð¹ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ Ñ ÑÑÐµÑÐ¾Ð¼ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð¸ÑÑÐ¾ÑÐ¸Ð¸ ÑÐ²ÐµÑÐ´ÐµÐ½Ð¸Ñ Ð½Ð° Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸ Ð¸ Ð±ÐµÐ· ÑÑÐµÑÐ° Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ. Ð­ÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¸ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ñ Ð² Ð½Ð°ÑÑÐ½Ð¾-Ð¸ÑÐ¿ÑÑÐ°ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ¸Ð¸ Â«ÐÐ¾Ð»Ð¸ÑÐµÑ Ð¡ÐÐ¸Ð-Ð¢ÐµÑÑÂ», ÐºÐ¾ÑÐ¾ÑÐ°Ñ ÑÐ²Ð»ÑÐµÑÑÑ ÑÑÑÑÐºÑÑÑÐ½ÑÐ¼ Ð¿Ð¾Ð´ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸ÐµÐ¼ Ð¸Ð½Ð¶ÐµÐ½ÐµÑÐ½Ð¾-ÑÑÑÐ¾Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ Ð¸Ð½ÑÑÐ¸ÑÑÑÐ° Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¾Ð³Ð¾ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ° ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð² Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð¸, ÑÑÐ¾ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸ Ð±ÐµÑÐ¾Ð½Ð° Ð¾Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ ÑÐ²ÐµÑÐ´ÐµÐ½Ð¸Ñ, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð² 60-Ñ Ð³Ð¾Ð´Ð°Ñ Ð¿ÑÐ¾ÑÐ»Ð¾Ð³Ð¾ Ð²ÐµÐºÐ°, Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼Ñ Ð´Ð»Ñ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ Ð±ÐµÑÐ¾Ð½Ð¾Ð². ÐÐ° Ð¿ÑÐ¸Ð¼ÐµÑÐµ ÑÐ°ÑÑÐµÑÐ° ÑÐµÑÐ¼Ð¾Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð¼Ð°ÑÑÐ¸Ð²Ð½Ð¾Ð¹ Ð±ÐµÑÐ¾Ð½Ð½Ð¾Ð¹ ÑÑÐµÐ½Ñ, Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐµ Â«TERMÂ», Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð° Ð²Ð°Ð¶Ð½Ð¾ÑÑÑ ÑÑÐµÑÐ° Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð¸ÑÑÐ¾ÑÐ¸Ð¸ ÑÐ²ÐµÑÐ´ÐµÐ½Ð¸Ñ Ð½Ð° Ð¼Ð¾Ð´ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾ÑÑÐ¸ Ð±ÐµÑÐ¾Ð½Ð°.
description: The work is devoted to the study of the influence of the thermal history of concrete hardening on the modulus of elasticity during the construction period, as well as to the assessment of this influence on the thermal stress state of massive concrete structures. Tasks that were solved during the research: 1. Review of research and available data on taking into account the influence of the hardening temperature on the change in the modulus of elasticity during the hardening process. 2. Experimental determination of curves of change in the modulus of elasticity of concrete depending only on time, as well as depending on the time and temperature history of hardening. 3. Comparative analysis of the obtained experimental data with theoretical models. 4. Calculation of the thermal crack resistance of a massive concrete structure taking into account the influence of the thermal history of hardening on the modulus of elasticity and without taking into account this influence. Experimental studies were carried out at the Â«Polytech-SKiM-TestÂ» scientific and testing laboratory, which is a structural subdivision of the Engineering and Construction Institute of Peter the Great St. Petersburg Polytechnic University. The experimental results demonstrated that analytical relationships between concretes modulus of elasticity and its hardening temperature, derived in the 1960s, remain applicable to modern concretes. The importance of considering the thermal history of concrete hardening on its modulus of elasticity was exemplified in a thermal stress analysis of a massive concrete wall performed using the Â«TERMÂ» software package.