The aim is to make the tyres more resistant to cuts and punctures.
Pirelli is expected to announce the changes later on Tuesday.
At Silverstone, six drivers - Mercedes driver Lewis Hamilton, Ferrari drivers Fernando Alonso and Felipe Massa, McLaren's Sergio Perez, Toro Rosso's Jean-Eric Vergne and Sauber's Esteban Gutierrez - all suffered dramatic failures during the race.
Hamilton, who had been leading when his left-rear tyre exploded, said something needed
"to be done straight away
" to solve the issue.
BBC F1 co-commentator and 13-time grand prix winner David Coulthard labelled tyre blowouts
as "driver killers".
Speaking after Sunday's race, Pirelli motorsport boss Paul Hembery said an investigation was under way to find the cause "as soon as possible ahead of the next grand prix".
Only the rear tyres are changing for this weekend's race in Germany, the fronts will remain the same as they have been all season.
Kevlar is a flexible, reinforced fibre that is used to help reduce punctures.
Formula 1: Lewis Hamilton wants action on 'unacceptable' tyre failures
Previously the rules allowed teams to block Pirelli from changing the tyres but the safety issues raised by six cars suffering tyre deflations at the British GP - and at least two others being found at pit stops to have tyres on the verge of failure - have forced governing body the FIA to intervene.
The FIA announced on Monday evening that it would change the rules to allow the tyre specification to change within the season without the unanimous approval of the teams.
It has also allowed the race drivers to take part in
this month's young driver
tests to enable Pirelli to do tyre development work.
The 2012 tyres which will be reintroduced for the Hungarian race are different again from the tyres to be used in Germany.
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