Very few if any good books on Chechnya but there are by doing an internet search several good staff papers on this area.
N. N. Novichkov, V. Ya. Snegovskiy, A. G. Sokolov and V. Yu. Shvarev, Rossiyskie vooruzhennye sily v chechenskom konflikte: Analiz, Itogi, Vyvody [Russian armed force in the Chechen conflict: Analysis, outcomes and conclusions], Moscow: Kholveg-Infoglob-Trivola, 1995, 138-139. For the same period of time, forward-support Russian maintenance personnel repaired 217 armored vehicles, while depot maintenance repaired another 404 armored vehicles according to Sergey Maev and Sergey Roshchin, "STO v Grozny" [Technical Maintenance Stations in Grozny]
Armeyskiy sbornik [Army digest], December 1995, 58. These were not all combat-induced losses, but it seems to indicate that 846 of 2221 armored vehicles (38%) were out of action for some period of time during the two-month battle for Grozny.
and
RUSSIA IN AFGHANISTAN AND CHECHNYA: MILITARY STRATEGIC CULTURE AND THE PARADOXES OF ASYMMETRIC CONFLICT
http://www.strategicstudiesinstitute.army.mil/pdffiles/PUB125.pdf#search=%22%20RUSSIAN%20TANKS%20AFGHANISTAN%20gRAU%20LESTER%22
Thomas, Timothy , “The Caucasus Conflict and Russian Security: The Russian Armed Forces Confront Chechnya, Part III,” Fort
Leavenworth, KS: FMSO, 1997.
Finch, Raymond , “Why the Russian Military Failed in Chechnya,” Fort Leavenworth, KS: FMSO, 1997
Celestan, Gregory J. , “Wounded Bear: The Ongoing Russian Military Operation in Chechnya,” Fort Leavenworth, KS: FMSO, 1996