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Revenue from Contract with Customer (Tables)
6 Months Ended
Jun. 30, 2021
Revenue from Contract with Customer [Abstract]  
Disaggregation of Revenue
The following table provides information about disaggregated revenue by type of product and contract for the three and six months ended June 30, 2021 and 2020:
For the Three Months Ended June 30,For the Six Months
Ended June 30,
2021202020212020
(Dollars in thousands)
Graphite Electrodes - Three-to-five-year take-or-pay contracts$253,589 $245,010 $499,154 $521,389 
Graphite Electrodes - Short-term agreements and spot sales65,204 30,111 112,459 60,929 
By-products and other11,957 5,597 23,534 17,046 
Total Revenues$330,750 $280,718 $635,147 $599,364 
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction The remaining revenue associated with our LTAs is expected to be approximately as follows:
20222023 through 2024
(Dollars in millions)
Estimated LTA revenue
$910-$1,010
$350-$450(1)
(1) Includes expected termination fees from a few customers that have failed to meet certain obligations under their LTAs.